Combination Calculator
What is 10 choose 3?
10 choose 3 without repeats is 120.
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Exact answers to common counting and probability questions
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Permutation Calculator
What is 8P4?
8 permute 4 without repeats is 1,680.
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What is 6!?
6! is 720.
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What is 6 choose 3?
6 choose 3 without repeats is 20.
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What is 13!?
13! is 6,227,020,800.
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How many 5 digit PINs are possible?
10 choices for 5 ordered positions gives 100,000.
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What is the probability of drawing a king from a standard deck?
The probability is 1/13, which is 0.076923 or 7.6923%.
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What is the probability of at least 2 heads in 5 coin flips?
The probability of at least 2 successes is 81.25%.
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What is the probability of drawing exactly 3 aces in a 5 card hand?
The probability of exactly 3 successes is 0.1736%.
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What is 21C6?
The binomial coefficient C(21, 6) is 54,264.
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How many 7 scoop combinations can you make from 3 flavours if repeats are allowed?
3 choose 7 with repeats allowed is 36.
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What is 12!?
12! is 479,001,600.
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What is the probability of drawing a face card from a standard deck?
The probability is 3/13, which is 0.230769 or 23.0769%.
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What is the probability of exactly 4 heads in 6 coin flips?
The probability of exactly 4 successes is 23.4375%.
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What is the probability of at most 1 ace in a 5 card hand?
The probability of at most 1 success is 95.8316%.
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What is 20C4?
The binomial coefficient C(20, 4) is 4,845.
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What is 14P4?
14 permute 4 without repeats is 24,024.
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How many 12 digit PINs are possible?
10 choices for 12 ordered positions gives 1,000,000,000,000.
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