EASY
UPSC CAPF AC Paper - I
IMPORTANT
Earn 100

The total number of ways of answering four objective-type questions, each question with four choices is:

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Important Questions on Permutations and Combinations

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UPSC CAPF AC Paper - I
IMPORTANT
Four men and three women are to be seated in a row in a way that the women occupy the even places only. How many such arrangements are possible?
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UPSC CAPF AC Paper - I
IMPORTANT
Five nouns, three verbs, and two adjectives are written on a blackboard. We can form a sentence by choosing one word from each type without caring about the sense the sentence makes. How many ways are there to do this?
MEDIUM
UPSC CAPF AC Paper - I
IMPORTANT
Three men have four shirts, five blazers and six ties. In how many ways can they wear them?
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UPSC CAPF AC Paper - I
IMPORTANT
In a tournament, 14 teams play league matches. If each team plays against every other team once only, then how many matches are played?
MEDIUM
UPSC CAPF AC Paper - I
IMPORTANT
In a tournament, each participant was to play one match against each one of the other participants. Three players fell ill and had to leave the tournament after the participants had played three matches each. Find the total number of participants at the beginning, if the total number of matches played was 75?
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UPSC CAPF AC Paper - I
IMPORTANT
Three dice are rolled. Find the number of possible outcomes in which at least one dice shows six?
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UPSC CAPF AC Paper - I
IMPORTANT
A man has three daughters and four identical apples are to be distributed among them. In how many ways can he distribute these apples without cutting any apple into parts such that each daughter gets at least one apple?
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UPSC CAPF AC Paper - I
IMPORTANT
In how many ways can two boys be selected out of 12 boys, if one particular boy is always included and two particular boys are always excluded?