Home Maths Permutations & Combination NTA Abhiyas Question The number of ways in which 5 boys and 4 gir…
Maths Permutations & Combination NTA Abhiyas Question Single Correct MCQ
Published on: August 14, 2026

The number of ways in which 5 boys and 4 girls can be arranged on a circular table such that no two girls sit together and two particular boys are always together is

A
288
B
44
C
720
D
540

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Text Solution

Verified by Experts
The correct answer is:
A

288

Let two particular boys as one boy, we have only four boys which can be seated at a round table in 3! ways.

The two boys together can be arranged in 2 ways.

So, boys can be seated in 2 x 3! ways.

B 1 B 2 are together. Now 4 girls can be seated at four places (marked x) in 4! ways.

Required number of ways = 3! x 2 x 4!

= 6 x 2 x 24 = 288 ways

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