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

Options

A. `24`
B. `36`
C. `42`
D. `48`

Answer

B

Explanation

`(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`.