12 Choose 7
Combination Calculator
What is 12 choose 7?
Answer
12 choose 7 is
792
Order doesn't matter, no repeats: 792 ways to choose 7 of 12 items.
Choosing 7 of 12 is the same as leaving 5 out: C(12, 7) = C(12, 5).
C(12, 7) = 12! / (7! · 5!)
= C(12, 5)
= (12 × 11 × 10 × 9 × 8) / (5 × 4 × 3 × 2 × 1)
= 95,040 / 120
= 792
If order matters (permutations): P(12, 7) = 12 × 11 × 10 × … × 6 = 3,991,680 — each combination in 7! = 5,040 orders.
Row sum: 212 = 4,096 — all subsets of 12 items.
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See Also
- Random Number Generator - Pick a random whole number between two bounds
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