Home Maths Permutations & Combination General Seven person P 1 , P 2 , ........., P 7 init…
Maths Permutations & Combination General Single Correct MCQ
Published on: August 14, 2026

Seven person P 1 , P 2 , ........., P 7 initially seated at chairs C 1 , C 2 ........ ,C 7 respectively. They all left their chairs simultaneously for hand wash. Now in how many ways they can again take seats such that no one sits on his own seat and P 1 sits on C 2 and P 2 sits on C 3 ?

A
52
B
53
C
54
D
55

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Text Solution

Verified by Experts
The correct answer is:
B

If P 3 sits on C 1

4!

= 4.3 – 4 +1 = 9

If P 3 does not sit on C 1

= 5! = 44

total number of ways = 44 + 9 = 53

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