A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The s…

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

How many 5-digit positive integers exist the sum of whose digits are odd?

In how many different ways can the letters of the word AWARE be arranged?

In how many different ways can the letters of the word ‘BAKERY’ be arranged?

The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife pla…

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

In how many ways can the letters of the word 'LEADER' be arranged?