Factorial Calculator
What is 10!?
10! is 3,628,800.
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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.
Four Dial Lock Combination Calculator
How many combinations does a 4 digit lock have?
A 4-position lock code with 10 options per position has 10,000 possible codes.
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How many combinations does a 3 number lock have?
A 3-position lock code with 60 options per position has 216,000 possible codes.
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What is 9!?
9! is 362,880.
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What is 12 choose 5?
12 choose 5 without repeats is 792.
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What is 8!?
8! is 40,320.
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How many distinct arrangements of the letters in MISSISSIPPI are there?
For item-group counts 4, 4, 2, 1, the number of distinct arrangements is 34,650.
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What is 7!?
7! is 5,040.
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What is 12P3?
12 permute 3 without repeats is 1,320.
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How many 5 scoop combinations can you make from 4 flavors if repeats are allowed?
4 choose 5 with repeats allowed is 56.
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What is 8C4?
The binomial coefficient C(8, 4) is 70.
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What is 9 choose 4?
9 choose 4 without repeats is 126.
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How many ways can 7 people sit around a round table?
7 distinct items around a circle can be arranged in 720 ways.
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How many ways can 8 people sit around a round table?
8 distinct items around a circle can be arranged in 5,040 ways.
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What is C(12, 5)?
The binomial coefficient C(12, 5) is 792.
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How many combinations of 12 items taken 2 at a time are there?
12 choose 2 without repeats is 66.
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How many 3 scoop combinations can you make from 5 flavors if repeats are allowed?
5 choose 3 with repeats allowed is 35.
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How many 4 character codes can you make from 6 symbols if repeats are allowed?
6 choices for 4 ordered positions gives 1,296.
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