# in an internal exam, there were 2 sections to be completed of which the 1st section contains 8 questions each with 4 choices and the second section contains 4 questions each with 5 choices. in how many different ways can the paper be answered if all the questions are attempted?

### Mohammed

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get in an internal exam, there were 2 sections to be completed of which the 1st section contains 8 questions each with 4 choices and the second section contains 4 questions each with 5 choices. in how many different ways can the paper be answered if all the questions are attempted? from screen.

## A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is:

Click here👆to get an answer to your question ✍️ A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is:

Question

## A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is:

**A**

## 80

**B**

## 100

**C**

## 200

**D**

## None of these

Medium Open in App Solution Verified by Toppr

Correct option is C)

(A) (B)

(5question) (5question)

(i) 2 4 =6 (ii) 3 3 =6 (iii) 4 2 =6

There are two section and the candidates has to answer at least 2 question from each section with total of 6 questions.

So, there are three followign ways.

(i) no of ways ⇒ selecting 2 questions from section A and 4 questions from sections B

⇒ 5 C 2 × 5 C 4 ⇒10×5⇒50

(ii) no. of ways ⇒ selecting 3 questions from each section.

⇒ 5 C 3 × 5 C 3 ⇒10×19=100

(iii) no. of ways ⇒ selecting 4 from section A and 2 from section B

⇒ 5 C 4 × 5 C 2 ⇒5×10⇒50

∴ Total no. of ways =50+100+50=200.

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## [Solved] An examination paper consists of 8 questions divided into tw

There are following ways to selecting 5 questions from A and B. Number of ways of selecting 2 questions from A and 3 from B = 4C2 × 4C3 Number

Home Logical Reasoning Puzzle Quant Based Puzzle

## Question

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## An examination paper consists of 8 questions divided into two parts 'A' and 'B'. Part A consists of 4 questions, and Part B consists of 4 questions. A candidate is required to attempt 5 questions selecting at least 2 questions from each part. In how many ways can the candidate select the question?

This question was previously asked in

MP Police Constable Previous Paper 16 (Held On: 27 Aug 2017 Shift 2)

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38 36 42 48

## Answer (Detailed Solution Below)

Option 4 : 48 Crack with

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## Detailed Solution

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There are following ways to selecting 5 questions from A and B.

Number of ways of selecting 2 questions from A and 3 from B = 4C2 × 4C3

Number of ways of selecting 3 questions from A and 2 from B = 4C3 × 4C2

Total number of ways = 4C2 × 4C3 + 4C3 × 4C2

= 2 (4C2 × 4C3) = 2 × 4×32 × 4×3×2 3×2 = 2 × 2 × 3 × 4 = 48.

Hence, **48 **is the correct answer.

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## The total number of ways of answering 5 objective questions, each question having four choices are

The total number of ways of answering 5 objective questions, each question having four choices are

Home

The total number of ways of answering 5 objective questions, each question having four choices are

Question

The total number of ways of answering 5 objective questions, each question having four choices are

A 120 B 2880 C 280 D 1024 Open in App Solution

The correct option is **D**

1024

Since, each question can be answered in 4 ways. So, the total number of ways of answering 5 questions = 4 x 4 x 4 x 4 x 4 = 1024

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Guys, does anyone know the answer?