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The number of 4 digit natural numbers su...

The number of `4` digit natural numbers such that the product of their digits is `12` is

A

`24`

B

`36`

C

`42`

D

`48`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `12=2^(2)*3`
Then the four digits can be
`1,1,6,2 to` no. of numbers `=(4!)/(2!)=12`
`1,1,3,4 to` no. of numbers `=(4!)/(2!)=12`
`2,2,3,1 to` no. of numbers `=(4!)/(2!)=12`
Hence, total numbers are `36`.
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