Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.

Five different digits from the setoff numbers {1,2,3,4,5,6,7} are written in random order. How many numbers can be formed using 5 different digits from set {1,2,3,4,5,6,7} if the number is divisible by 9?

A five-digit number is formed by the digit 1, 2, 3, 4, 5 without repetition. Find the probability that the number formed is divisible by 4.

A two digit number is formed with the digits , 2,5,9 ( repetition is allowed ) . Find the probability that the number is divisible by 2.

Find the two-digit number (having different digits), which is divisible by 5.

A two digit number is formed with the digits 2,5,9 (repetition is allowed). Find the probability that the number is divisible by 2 or 5 .

A two digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - prime number

A two digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - multiple of 4

A two digit number is to be formed from the digits 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - multiple of 11.