Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a women…

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

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many differen…

Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numb…

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

There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertic…

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 fr…

In how many different way can the letters of the word WEDDING be arranged?