In how many different ways can the letters of the word EXTRA be arranged so that the vowels are never together?

Six boxes are numbered 1, 2, 3, 4, 5 and 6. Each box must contain either a white ball or a black ball. At least one box …

In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come toget…

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

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to inc…

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

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

Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 women, and 2 men. In how many di…