How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

Four digit numbers are formed by using the digits 1, 2, 3, 5 without repetition of digits. How many of them are divisible by 4?

How many numbers lying between 100 and 1000 can be formed with digits 0,1,2,3,4,5 if repetition is not allowed?

What is the sum of all four digit numbers formed by using all digits 0, 1, 4, 5 without repetition of digits ?

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

How many words, no matter if they are meaningless, can be formed by the letter, of the word ‘DIARY’?