An examination paper consists of 12 questions divided into two parts, part A and part B. Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting at least 3 from each part. In how many ways can he select the questions?

240

No worries! We‘ve got your back. Try BYJU‘S free classes today!

420

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

480

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 420
Required number of ways
$=^{7} C_{3} \times^{5} C_{5} \times +^{7} C_{4} \times^{5} C_{4} \times +^{7} C_{5} \times^{5} C_{3} = 35 \times 1 + 35 \times 5 + 21 \times 10 = 35 + 175 + 210 = 420$

Suggest Corrections

Similar questions

Q. An examination paper consists of

12

questions divided into two parts

A

B

. Part

A

, containing

7

questions & part

B

contains

5

questions. A candidates is required to attempt

8

questions selecting at least

3

from each part. In how many ways can the candidates select the questions?

An examination paper containing 12 questions consists of two parts, A and B. Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting at least 3 from each part. In how many ways can the candidate select the questions?

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempts 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions ?

Q. A question paper consists of