aarav has 10 friends, and he wants to invite exactly 6 of them to his party. however, he doesn’t want to invite 3 of his friends since they didn’t invite him to their party. how many unique groups of friends can aarav invite?
Mohammed
Guys, does anyone know the answer?
get aarav has 10 friends, and he wants to invite exactly 6 of them to his party. however, he doesn’t want to invite 3 of his friends since they didn’t invite him to their party. how many unique groups of friends can aarav invite? from screen.
Naresh has 10 friends and he wants to invite 6 of them to a party : Problem Solving (PS)
Naresh has 10 friends and he wants to invite 6 of them to a party. How many times will 3 particular friends always attend the ...
NEW HERE? LEARN MORE
close Forum Home GMAT Quantitative
Problem Solving (PS)
Unanswered Active Topics Register GMAT Club Tests Decision Tracker My Rewards New posts New comers' posts
EVENTS & PROMOTIONS
Dec
24Target Test Prep Big Holiday Sale
Dec
26Save up to 46% on GMAT Prep with our Christmas Sale!
Dec
27GMAT 430 to 710: 280-Point Score Improvement With Target Test Prep
Dec
28Verb Tenses: Understand the timeline! (Free Webinar)
Dec
3010 Common Mistakes to Avoid in MBA Application Essays | Tips for MBA Application Essays
Dec
31Life getting in the way of your GMAT prep? Here's a free video series that will definitely help!
Dec
31Score 760 or Higher on the GMAT with Target Test Prep
Find out More Dec
31Score 760 or Higher on the GMAT with Target Test Prep
08:00 PM EST - 09:00 PM EST
Explore Target Test Prep's MASSIVE 110-point score improvement guarantee. We are so confident you will have success with the TTP GMAT course, that we guarantee it.
Learn More Dec
24Target Test Prep Big Holiday Sale
02:00 PM EST - 11:59 PM EST
This holiday season, Target Test Prep is giving the gift of 20% off any GMAT. Just enter the coupon HOLIDAY20 at checkout to ring in the New Year with big savings on TTP's 5-star rated GMAT prep course.
Learn More Dec
26Save up to 46% on GMAT Prep with our Christmas Sale!
05:30 AM PST - 07:30 AM PST
Don’t get your tinsel in a tangle, Christmas sale time! Buy our online course & get access to a personalized study plan, 100+ video lessons, 4000+ questions, 10 mocks & a dedicated mentor, at prices starting as low as $149. Limited-time offer – Hurry up!
Set a Reminder Dec
27GMAT 430 to 710: 280-Point Score Improvement With Target Test Prep
07:30 AM PST - 08:30 AM PST
From 430 to 710: With grit, determination, and the help of Target test Prep, Dan improved his GMAT score by 280 points! In this video, we discuss Dan's GMAT study plan and techniques and how TTP’s course helped him achieve a massive 280-point improvement
Register Today Dec
28Verb Tenses: Understand the timeline! (Free Webinar)
06:30 AM PST - 08:30 AM PST
The most confusing topic when it comes to GMAT SC. However, when it is seen from the lens of meaning, it becomes very logical and easy to apply. Attend this webinar and learn how to solve 700 level SC questions correctly & consistently.
Watch Now Dec
3010 Common Mistakes to Avoid in MBA Application Essays | Tips for MBA Application Essays
03:00 PM PST - 04:00 PM PST
The pointers shared in this video will help you avoid the 10 common mistakes that applicants make in the MBA essays and deliver your best during the MBA Applications process.
Learn More Dec
31Life getting in the way of your GMAT prep? Here's a free video series that will definitely help!
04:00 PM PST - 05:00 PM PST
We understand that preparing for the GMAT with a full-time job is no joke. Our free 4-part program will teach you how to do just that. Unlock your access before this series is gone!
Find out More Dec
31Score 760 or Higher on the GMAT with Target Test Prep
08:00 PM EST - 09:00 PM EST
Explore Target Test Prep's MASSIVE 110-point score improvement guarantee. We are so confident you will have success with the TTP GMAT course, that we guarantee it.
Learn More Dec
24Target Test Prep Big Holiday Sale
02:00 PM EST - 11:59 PM EST
This holiday season, Target Test Prep is giving the gift of 20% off any GMAT. Just enter the coupon HOLIDAY20 at checkout to ring in the New Year with big savings on TTP's 5-star rated GMAT prep course.
Naresh has 10 friends and he wants to invite 6 of them to a party
3 POSTS
Go to First Unread Post
Print view NEW TOPIC SORT BY: Date Kudos B
ak298Intern
Joined: 03 Jul 2020
Posts: 29
Naresh has 10 friends and he wants to invite 6 of them to a party [#permalink]
09 Jul 2020, 06:34 4 Bookmarks 00:00 A B C D E
SHOW TIMER STATISTICS
Naresh has 10 friends and he wants to invite 6 of them to a party. How many times will 3 particular friends always attend the party?
A. 35 B. 120 C. 126 D. 640 E. 720 Show Answer
L
GMATinsightGMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5916 Location: India GMAT: QUANT EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: Naresh has 10 friends and he wants to invite 6 of them to a party [#permalink]
09 Jul 2020, 07:32
[Solved] Naresh has 10 friends, and he wants to invite 6 of them to a
Concept: \(\rm ^nC_r = \dfrac{n!}{r!(n-r)!}\) Calculations: Given, Naresh has 10 friends, and he wants to invite 6 of them to a party. Remove the 3 particul
Home Mathematics Permutations and Combinations
Question
Download Solution PDF
Naresh has 10 friends, and he wants to invite 6 of them to a party. How many times will 3 particular friends never attend the party?
This question was previously asked in
NIMCET 2020 Official Paper
Download PDF Attempt Online
View all NIMCET Papers >
8 7 720 35
Answer (Detailed Solution Below)
Option 2 : 7 Crack with
India's Super Teachers
FREE
Demo Classes Available*
Explore Supercoaching For FREE
Free TestsView all Free tests >
FREE
NIMCET 2020 Official Paper
4.5 K Users
120 Questions 480 Marks 120 Mins
Start Now
Detailed Solution
Download Solution PDF
Concept:nCr=n!r!(n−r)!
Calculations:Given, Naresh has 10 friends, and he wants to invite 6 of them to a party.
Remove the 3 particular friends and invite 6 friends from the remaining = 10 - 3 = 7 friends.
This can be done in 7C6 ways
Hence, required number of ways = 7C6
⇒required number of ways =
7!(7−6)!6!
⇒required number of ways = 7
Hence, Naresh has 10 friends, and he wants to invite 6 of them to a party. total number of ways that 3 particular friends never attend the party = 7
Download Solution PDF
Share on Whatsapp
Latest NIMCET Updates
Last updated on Sep 21, 2022
The National Institute of Technology released NIMCET or NIT MCA Common Entrance Test Result 2022 on 6th July 2022. The candidates can check and download their NIMCET Results by following the steps mentioned here. After the release of the NIMCET Result, the qualified candidates will go through the application process, where they can fill their references for up to 3 colleges. The National Institute of Technology conducts this entrance test every year for admission into the Masters of Computer Application.
With hundreds of Questions based on Permutations and Combinations, we help you gain expertise on Mathematics. All for free. Explore Testbook Learn to attain the subject expertise with us.
India’s #1 Learning Platform
Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes
Get Started for Free
Download App
Trusted by 3.5 Crore+ Students
‹‹ Previous Ques Next Ques ››
More Permutations and Combinations Questions
Q1. How many numbers of 4 digits divisible by 5 can be formed with the digits 0, 2, 5, 6 and 9?Q2. A committee of 5 is to be formed from 6 gentlemen and 4 ladies. In how many ways can this be done, if the committee includes at least one lady?Q3. In an examination of twenty questions, each correct answer carries 5 marks, each unanswered question carries 1 mark and each wrong answer carries 0 marks. Which one of the following marks is not possible?Q4. A committee of 3 persons is to be formed by choosing from three men and 3 women in which at least one is a woman. In how many different ways can this be done?Q5. Words are framed from the letters of the word GANESHPURI as follows, then the true statement isQ6. If nC10 = nC15, then 27Cn equalsQ7. What will be the number of permutations of n different things, taken r at a time, where repeatition is allowed?Q8. Find out the quantity of four-digit numbers that can be created by utilizing the digits from 1 to 9 if repetition of digits is not allowed?Q9. Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C and D are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and E may be arranged isQ10. A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students isSimilar Naresh has 10 friends and he wants to invite 6 of them to a party. How many times will 3 particular friends never attend the party?
Answer (1 of 5): Concept: Calculations: Given, Naresh has 10 friends, and he wants to invite 6 of them to a party. Remove the 3 particular friends and invite 6 friends from the remaining = 10 − 3 = 7 friends. This can be done in 7C6 ways Hence, required number of ways = 7C6 ⇒ required numbe...
Similar Naresh has 10 friends and he wants to invite 6 of them to a party. How many times will 3 particular friends never attend the party?
Ad by Adclickersbot
Make Money Easy And Safe Way.
Adclickersbot is a Telegram earning platform that allows you to earn money by performing simple tasks.
Sort Avirat Dhodare
Author has 3.1K answers and 3M answer views1y
Concept: Calculations:
Given, Naresh has 10 friends, and he wants to invite 6 of them to a party.
Remove the 3 particular friends and invite 6 friends from the remaining = 10 − 3 = 7 friends.
This can be done in 7C6 ways
Hence, required number of ways = 7C6
⇒ required number of ways = 7! / (7−6)!6!
⇒ required number of ways = 7
Henc... Related questions
Initial Naresh has 10 friends and he wants to invite 6 of them to a party. How many times will 3 particular friends always attend the party?
A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number?
Mike is 4 years older than Alice who is thrice as older as Bob. If the sum of ages of Mike, Alice, and Bob is 32, then how much is Mike older than Bob?
How many 3 3
digit numbers have all their digits in an ascending order?
I have 6 cards numbered 1-6 and my friend has the same cards. I picked two random numbers. What is the probability that my friend picks the same two numbers (order doesn't matter)?
Xander Mensah math nerd3y Related
6 friends who each have 6 friends all went out to dinner. How many people went for dinner?
6 people (regardless of **). The question does not imply that any of the friends’ friends also attended dinner, so if we rewrite the question without irrelevant information, it becomes: “6 friends ̶w̶h̶o̶ ̶e̶a̶c̶h̶ ̶h̶a̶v̶e̶ ̶6̶ ̶f̶r̶i̶e̶n̶d̶s̶ all went out to dinner. How many people went for dinner?”
If it had said “6 friends who each have 6 friends all went out to dinner with each of their friends. How many people went for dinner?” then the answer would be 7-12 people, the lower case being that the 7th friend is also friends with the other 6, and the upper case is that each of the six friends
Sponsored by Amazon Web Services (AWS)
Build, deploy, and run data-warehousing solutions in the cloud.
AWS enables you to deploy a data warehouse in minutes. Get started for free.
Michael Lamar
PhD in Applied MathematicsUpvoted by
Michael Harrison
, M.S. Mathematics, Louisiana State University (2007)Author has 3K answers and 12.2M answer views1y
Related
If after 100 coin flips it’s 80-20 Heads, there must be a tendency “towards Tails” because we know it always tends towards 50-50. So … if the tendency is “not in the next flip”… Where does that tendency come from?
You are making a logical mistake that is quite common and has to do with not appreciating how fractions behave in limits.
I’ll exaggerate the point. Suppose you start out with 1000 flips in a row despite the coin being “fair.” (Fair is shorthand for a 50/50 coin and independent flips.) Never you mind how wildly improbable it would be for a fair coin to start with 1000 heads in a row — let’s just say that it happened.
If you flip another 100 times, you still expect to see about 50 heads and 50 tails. That makes the total fraction of heads flipped equal to
1050 1100 ≈0.95 10501100≈0.95 . That’s alr Mohan Bhatt
B. Tech (Mech Engg) from G.B Pant University of Technology, Pantnagar, Uttarakhand (Graduated 1983)1y
Just ignore 3 who are not to attend. We are left with 7 out of whom 6 are to be selected for party. 7C6 =7 ways
Related questions
The ratio between the present ages of Navin and Samir is 5:3. If the difference between their ages is 6 years, what will be Samir's age after 5 years?
A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is?
If you have 6 donuts and you want to give 2/3 of them to a friend and keep the rest for yourself, how many donuts would your friend get?
Dago spent 1/3 of his birthday money. Then he lost 1/2 of the rest. He now has only Nu.100 left. How much did he get for his birthday? A) 200. B) 300. C) 350. D) 250
Distance between the two places is 35 km. If two persons start running towards each other from these two places with a speed of 3 km/h and 4 km/h. at 7 AM. At what time do they meet?
Sponsored by University of Europe
Get your MBA in just 1 year at University of Europe in Germany.
Ranked top 25 business school in Europe, you'll take your strategic management skills to the next level.
Naresh Adapa
Works at SRM Institute of Science and TechnologyAuthor has 74 answers and 155.3K answer views1y
Out of 10 we can't consider particular three ,so we have to choose 6 from 7,that is 7c6=7
Sreetama Maitra
B Sc. from St. Xavier's College, Kolkata (Expected 2024)Author has 156 answers and 53.4K answer viewsJan 12
Naresh has 10 friends out of them he wants to invite 6 friends.
now 3 particular friends will never attend party. so he has to invite 6 friends out of (10–3)=7 friends.
therefore the total possible ways=7C6=7.
Guys, does anyone know the answer?