Test: Basic Concepts Of Permutations And Combinations- 4

 A team of 12 men is to be formed out of n persons. It is found that ‘A’ and ‘B’ are three times as often together as ‘C’ ‘D’ and ‘E’ are. Then the value of n is __________.

 You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper?

Out of 10 consonants and 4 vowels how many words can be formed each containing 6 consonant and 3 vowels?

In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.

 A team of 12 men is to be formed out of n persons. Then the number of times 2 men ‘A’ and ‘B’ are together is ________.

In paper from 2 groups of 5 questions each you have to answer any 6 questions attempting at least 2 question from each group. This is possible in ________ number of ways.

 The number of combinations that can be made by taking 4 letters of the word 

 Out of 8 different balls taken three at a time without taking the same three together more than once for how many number of times you can select a particular balls?

 A boat’s crew consist of 8 men, 3 of whom can row only on one side and 2 only on the other. The number of ways in which the crew can be arranged is _______.

Out of 8 different balls taken three at a time without taking the same three together more than once for for how many number of times you can select any ball?

You are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket keepers. In how many ways you can do it so that the team contains exactly 3 bowlers and 1 wicket keeper? Would your answer be different if the team contains at least 3 bowlers and at least 1 wicket-keeper?

 If ¹⁸C_n = ¹⁸C_n+2 then the value of n is _________.

 In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included?

A party of 6 is to be formed form 10 men an 7 women so as to include 3 men and 3 women. In how many ways the party can be formed if two particular women refuse to join it?

A team of 12 men is to be formed out of n person. The number of times 3 men ‘C’ ‘D’ and ‘E’ are together is_________.

In how many ways can 8 boys form a ring?

The total number of sitting arrangements of 7 persons in a row if 3 persons sit together in a particular order is _________.

 In how many ways 6 men can sit at a round table so that all shall not have the same neighbors in any two occasions?

 From 6 boys and 4 girls 5 are to be seated. If there must be exactly 2 girls the number of ways of selection is __________.

If you have to make a choice of 7 questions out of 10 questions set, you can do it in ________ number of ways.

 The total number of sitting arrangements of 7 persons in a row if one person occupies the middle seat is _________.

 In how many ways 6 men and 6 women sit at a round table so that no two men are together?

If all the permutations of the letters of the word “chalk” are written in a dictionary the rank of this word will be __________.

In how many ways 4 men and 3 women are arranged at a round table if the women always sit tohether?

 The total number of sitting arrangements of 7 persons in a row if 2 persons occupy the end seats is _________.

 A family comprised of an old man, 6 adults and 4 children is to be seated is a row with the condition that the children would occupy both the ends and never occupy either side of the old man. How many sitting arrangements are possible?

 In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included?

In a ration shop queue 2 boys, 2 girls, and 2 men are standing in such a way that the boys the girls and the men are together each.The total number of ways of arranging the queue is _______.

 In how many ways 4 men and 3 women are arranged at a round table if the women always sit together?

The total number of sitting arrangements of 7 persons in a row if 3 persons sit together in any order is _________.

 In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included?

In how many ways can 8 beads of different colour be strung on a ring?

 How many numbers greater than a million can be formed with the digits: One 0 Two 1 one 3 and Three 7?

In how many ways the letters of the word "LOCKDOWN" can be arranged such that N is always between O's?

 How many different words can be formed with the letter of the word “HARIYANA”?

 How many number greater than 23000 can be formed with 1, 2, ………5?

How many different words can be formed with the letter of the word “HARIYANA”?How many arrangements are possible keeping 'h' and 'n' together ?