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
Each answer page uses the same values in the question, result, worked steps, and calculator link so the result is easy to verify.
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 17C4?
The binomial coefficient C(17, 4) is 2,380.
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What is 25C3?
The binomial coefficient C(25, 3) is 2,300.
Open answer pagePermutation With Repetition Calculator
How many 8 digit PINs are possible?
10 choices for 8 ordered positions gives 100,000,000.
Open answer pageFactorial Calculator
What is 11!?
11! is 39,916,800.
Open answer pageCircular Permutation Calculator
How many ways can 9 people sit around a round table?
9 distinct items around a circle can be arranged in 40,320 ways.
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How many distinct arrangements of the letters in the word SUCCESS are there?
For item-group counts 3, 2, 1, 1, the number of distinct arrangements is 420.
Open answer pageProbability Calculator
What is the probability of drawing an ace from a standard deck?
The probability is 1/13, which is 0.076923 or 7.6923%.
Open answer pageBinomial Probability Calculator
What is the probability of exactly 3 heads in 5 coin flips?
The probability of exactly 3 successes is 31.25%.
Open answer pageHypergeometric Probability Calculator
What is the probability of drawing exactly 2 aces in a 5 card hand?
The probability of exactly 2 successes is 3.993%.
Open answer pageCombination With Repetition Calculator
How many 4 scoop combinations can you make from 6 flavours if repeats are allowed?
6 choose 4 with repeats allowed is 126.
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What is 10P3?
10 permute 3 without repeats is 720.
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How many distinct arrangements of the letters in the word LETTER are there?
For item-group counts 2, 2, 1, 1, the number of distinct arrangements is 180.
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How many distinct arrangements of the letters in the country name CANADA are there?
For item-group counts 3, 1, 1, 1, the number of distinct arrangements is 120.
Open answer pagePermutation With Repetition Calculator
How many 6 digit PINs are possible?
10 choices for 6 ordered positions gives 1,000,000.
Open answer pageMultiset Permutation Calculator
How many distinct arrangements of the letters in the word APPLE are there?
For item-group counts 2, 1, 1, 1, the number of distinct arrangements is 60.
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