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# 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?

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### 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 ...

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## Naresh has 10 friends and he wants to invite 6 of them to a party

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ak298

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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

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Re: Naresh has 10 friends and he wants to invite 6 of them to a party [#permalink]

09 Jul 2020, 07:32

स्रोत : gmatclub.com

## [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

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## 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?

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## Detailed Solution

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

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## 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?

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?

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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

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Michael Lamar

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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

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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.

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Mohammed 1 month ago

Guys, does anyone know the answer?