## 41. There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man?

## 42. Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.

## 43. In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?

## 44. There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:

## 45. A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

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