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Number of four digit positive integers i...

Number of four digit positive integers if the product of their digits is divisible by `3` is.

A

`2700`

B

`5464`

C

`6628`

D

`7704`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` Product will be divisible by `3` if atleast one digit is , `0,3,6,9`
Now total four-digit no.`=9xx10^(3)`,
Number of four-digit no. without `0,3,6,9=6^(4)`
Total number of four-digit integers `=9000-1296=7704`
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