In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together…

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

How many number of times will the digit <strong>7</strong> be written when listing the integers from 1 to 10…

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 …

A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The …

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

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