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

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 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters 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 ?

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?

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?