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Maths Probability General Single Correct MCQ
Published on: August 14, 2026

There are 10 persons among whom are A and B who are made to stand in a row in random order. The probability that there is exactly one persons between A and B is

A
4/45
B
8/45
C
1/5
D
1/210

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Text Solution

Verified by Experts
The correct answer is:
B

n(S) = Total number of ways in which 10 persons can be made to stand = 10!

n(E) = Number of ways in which exactly one person stands between A and B

= (10 – 2). 2.(10 – 2) ! = 16 x 8 !

P(E) =

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