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  • The total number of 5-digit numbers, formed by using the digits 1,2,3,5,6,7 without repetition, which are multiple of 6, isOption: 1 36

The total number of 5-digit numbers, formed by using the digits 1,2,3,5,6,7 without repetition, which are multiple of 6, is

Option: 1

36


Option: 2

48


Option: 3

60


Option: 4

72


Answers (1)

best_answer

The number must be multiple of both  2 & 3

For 3, sum of digits must be divisible by 3

1+2+3+5+6+7= 24, so can remove  3 or  6

\left ( 1,2,5,6,7 \right )\rightarrow \quad -----\left [ 2 \right ]= 2\times 4!= 2\times 24= 48
\left ( 1,2,3,5,7 \right )\rightarrow \quad -----\left [ \underline{2} \right ]= 4!= 24

Total = 48+24= 72

Option (D)
 

Posted by

Divya Prakash Singh

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