Test: Permutations and Combinations- 4 - CA Foundation MCQ

 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 'COMBINATION'

 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?