Question

In an examination, a candidate is required to answer 5 questions in all, from 2 sections
having 5 questions each. What are the total number of ways in which a candidate can
select the questions, provided that at least two questions are to be attempted from each
section?​

Answer 1

Answer:

There are two ways in which a candidate can select the questions to answer.

Answer 2

Given:

Number of questions in each section= 5

Number of sections= 2

Number of questions to be attempted in total= 5

To find:

The total number of ways in which a candidate can select the questions, provided that at least two questions are to be attempted from each

section?

Solution:

The student has to attempt 2 questions from each sections, so either he can do 2 questions from each section and one question from section 1 or do 2 questions from each section and one question from section 2.

The number of ways of choosing questions will be:

5C3*5C2 + 5C2*5C3

= 2(5C2*5C3)

= 2* 10* 10 = 200

The required number of possibilities are 200.