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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How many 11 digit PINs are possible?
10 choices for 11 ordered positions gives 100,000,000,000.
Open answer pageProbability Calculator
What is the probability of drawing a spade from a standard deck?
The probability is 1/4, which is 0.25 or 25%.
Open answer pageBinomial Probability Calculator
What is the probability of at least 3 heads in 5 coin flips?
The probability of at least 3 successes is 50%.
Open answer pagePermutation With Repetition Calculator
How many 9 digit PINs are possible?
10 choices for 9 ordered positions gives 1,000,000,000.
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What is 15!?
15! is 1,307,674,368,000.
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What is the probability of drawing a club from a standard deck?
The probability is 1/4, which is 0.25 or 25%.
Open answer pagePermutation With Repetition Calculator
How many 7 digit PINs are possible?
10 choices for 7 ordered positions gives 10,000,000.
Open answer pageFactorial Calculator
What is 14!?
14! is 87,178,291,200.
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What is the probability of drawing a jack from a standard deck?
The probability is 1/13, which is 0.076923 or 7.6923%.
Open answer pageCircular Permutation Calculator
How many ways can 10 people sit around a round table?
10 distinct items around a circle can be arranged in 362,880 ways.
Open answer pageBinomial Probability Calculator
What is the probability of exactly 2 heads in 5 coin flips?
The probability of exactly 2 successes is 31.25%.
Open answer pageHypergeometric Probability Calculator
What is the probability of drawing no aces in a 5 card hand?
The probability of exactly 0 successes is 65.8842%.
Open answer pageBinomial Coefficient Calculator
What is 10C3?
The binomial coefficient C(10, 3) is 120.
Open answer pageFour Dial Lock Combination Calculator
How many combinations does a 4 letter lock have?
A 4-position lock code with 26 options per position has 456,976 possible codes.
Open answer pageProbability Calculator
What is the probability of drawing a queen from a standard deck?
The probability is 1/13, which is 0.076923 or 7.6923%.
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