Home
Class 12
MATHS
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!)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Total number of 6-digit numbers in which only and all the five digit 1,2,5,7 and 9 appear, is :

Total number of 6 -digit numbers in which only and all the five digits 1,3,5,7 and 9 appear,is

Total number of 10 – digit numbers in which only and all the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 appear, is:

Total number of 6-digit numbers in which all the odd digits appear, is

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

The total number of eight digit numbers in which all digits are different, is

Total number of six-digit number in which all and only odd digits appear is a.(5)/(2)(6!) b.6! c.(1)/(2)(6!) d.none of these