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Five persons A,B,C,D and E are standing...

Five persons A,B,C,D and E are standing in a queve of a ration shop . The probability that A and R are always togethar 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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Knowledge Check

  • Five persons A,B,C,D and E are standing in a queue of a ration shop . The probability that A and E are always togethar is .

    A
    `1/4`
    B
    `2/3`
    C
    `2/5`
    D
    `3/5`

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