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!))`

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!)[3+(4)/(3)] = (13)/(3).(6!)/(2!) = 13.(6!)/(3!)`

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