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Total number of 6 digits numbers in whic...

Total number of 6 digits numbers in which only and all the four digits 1, 2, 3, 4 appear, is:

A

`13 ((6!)/(3!))`

B

`17 ((6!)/(3!))`

C

`11 ((6!)/(3!))`

D

`19 ((6!)/(3!))`

Text Solution

Verified by Experts

The correct Answer is:
A
`.^(4)C_(2) xx (6!)/(2!2!) + .^(4)c_(1) xx (6!)/(3!) = 3. (6!)/(2!) + 4. (6!)/(3 xx 2!) = (6!)/(2!) [2 + (4)/(3)] = (13)/(3). (6!)/(2!) = 13. (6!)/(3!)`
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