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The number of ways in which ten candidat...

The number of ways in which ten candidates `A_(1),A_(2),A_(3),A_(4),……,A_(10)` can be arranged in a row
if `A_(1)` is just above `A_(2)` then the number of ways are

A

`9!2!`

B

`10!`

C

`10!2!`

D

`9!`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The number of ways in which ten candidates A_(1),A_(2),A_(3),A_(4),……,A_(10) can be arranged in a row if A_(1) and A_(2) are next to each other is

    A
    `9!2!`
    B
    `10!`
    C
    `10!2!`
    D
    `9!`

  • The number of ways in which ten candidates A_(1),A_(2),A_(3),A_(4),……,A_(10) can be arranged in a row If A_(1) is always above A_(2) and A_(2) is above A_(3) is

    A
    `(10!)/(3!)`
    B
    `(10!)/(2!)`
    C
    `8!3!`
    D
    `7!`

  • The number of ways in which candidates A_1,A_2 ,. . . A_(10) can be ranked if A_1 is always above A_2 is

    A
    10!
    B
    9!
    C
    `1/2 9!`
    D
    `1/2 10!`

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