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The total number of 9-digit number which...

The total number of 9-digit number which have all different digits is

A

`10"!"`

B

`9"!"`

C

`9 xx 9"!"`

D

`10 xx 10"!"`

Text Solution

Verified by Experts

The correct Answer is:
C
We have to form 9-digit number with the digit 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 cannot be placed at the first place from left. So, first place from left can be filled in 9 ways.
Since, repetition is not allowed, so remaining 8 places can be filled in `9"!"` ways.
`therefore` Required number of ways `=9 xx 9"!"`
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Knowledge Check

  • The total number of 9 digit numbers which have all different digits is

    A
    `|ul(10)`
    B
    `|ul(9)`
    C
    `9|ul(9)`
    D
    `10|ul(10)`

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