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5 persons A, B, C, D and E are in a queu...

5 persons A, B, C, D and E are in a queue of a shop. The probability that A and E always occur together, is

A

`(1)/(4)`

B

`(2)/(3)`

C

`(2)/(5)`

D

`(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
5 persons A, B, C, D and E can stand in a queue in 5! Ways.
Persons A and E can occur together in 2! Ways.
Considering A and E as one person, there are 4 persons who can be queued in 4! Ways.
So, A and E can occur together in `4!xx2!` ways.
So, required probability `=(4!xx2!)/(5!)=(2)/(5)`
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