PART - 1 CH - 6 Permutations and Combinations Maths - PART - 1 CH - 6 Permutations and Combinations

The number of ways in which 3 men and 2 men can sit on a bus, while the number of men and women sitting each side in 3 , will be :

A polygon has 44 diagonals. The number of sides will be :

How many words will be formed from the letters of the word INDIA?

The total number of three letter words formed from the letters of the word 'ORIENTAL' is 336.

18 students attended the student union meeting of a school. Each shakes hands with the other only once. Find the total number of handshakes.

In how many ways can 4 persons be selected out of 12 persons with the condition that a specific person must be included?

In how many ways can 6 apples be divided among 2 boys, there is no restriction on every boy getting an apple?

A committee of 6 members is to be formed out of 8 men and 5 women. In how many ways can this committee be formed while in each committee :
(i) there should be only 2 men,
(ii) there should be only 2 women,
(iii) there should be at least two women,
(iv) there should be at least two men.

In how many ways can 11 players of cricket team be selected out of 14 players? Here often a particular player
(i) is always included,
(ii) never selected.

How many words can be made from the letters of the word DELHI, if
(i) All letters should be taken
(ii) Only 3 letters should be taken
(iii) Every word starts with D
(iv) Every word starts with D and ends with I
(v) Both the vowels come together
(vi) Every word starts with both vowels?

If a committee of 12 members is to be formed out of 9 women and 8 men in which at least 5 women are required, then find the member of those committees, if
(i) Women should be in majority,
(ii) Men should be in majority.