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

A 4 digit number is randomly picked from all the 4 digit numbers, then the probability that the product of its digit is divisible by 3 is :

A 4 digit number is randomly picked from all the 4 digit numbers, then the probability that the product of its digit is divisible by 3 is :

The number of four digited numbers formed from the digits {2,3,4,5,6} that are divisible by 3 is

The number of four digited numbers formed from the digits {2,3,4,5,6 } that are divisible by 6 is

Find the number of all positive integers of 3 digits which are divisibleby 5.

A two digit number is four times sum of its digits.The number is three times product of the digits. Find the number.

A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.

Let a_n denote the number of all n-digit positive integers formed by the digits 0, 1, or both such that no consecutive digits in them are 0. Let b_n= The number of such n-digit integers ending with digit 1 and c_n= Then number of such n-digit integers with digit 0. The value of b_6 is