10 Choose 7
Combination Calculator
What is 10 choose 7?
Answer
10 choose 7 is
120
Order doesn't matter, no repeats: 120 ways to choose 7 of 10 items.
Choosing 7 of 10 is the same as leaving 3 out: C(10, 7) = C(10, 3).
C(10, 7) = 10! / (7! · 3!)
= C(10, 3)
= (10 × 9 × 8) / (3 × 2 × 1)
= 720 / 6
= 120
If order matters (permutations): P(10, 7) = 10 × 9 × 8 × … × 4 = 604,800 — each combination in 7! = 5,040 orders.
Row sum: 210 = 1,024 — all subsets of 10 items.
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See Also
- Random Number Generator - Pick a random whole number between two bounds
- Percent to Probability Converter - Convert Percents to "1 in X" Probability Chance
- Factors of a Number - List all Factors and Factor Pairs of a Number
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