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

## 32. A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associate. In how many different ways can this be done if the committee should have 2 trainees and 3 research associates?

## 33. In how many different ways can the letters of the word CREAM be arranged?

## 34. In how many different ways can the letters of the word ALLAHABAD be arranged?

## 35. From a group of 7 men 6 women, 5 persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

## 36. In how many different ways can the letters of the word BANKING be arranged in such a way that the vowels always come together?

## 37. A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the draw?

## 38. 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 different ways can it be done?

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

## 40. A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?

## Read More Section(Permutation and Combination)

Each Section contains maximum **100 MCQs question** on **Permutation and Combination**. To get more questions visit other sections.