8 Choose 7
Combination Calculator
What is 8 choose 7?
Answer
8 choose 7 is
8
Order doesn't matter, no repeats: 8 ways to choose 7 of 8 items.
Choosing 7 of 8 is the same as leaving 1 out: C(8, 7) = C(8, 1).
C(8, 7) = 8! / (7! · 1!)
= C(8, 1)
= 8 / 1
= 8
If order matters (permutations): P(8, 7) = 8 × 7 × 6 × … × 2 = 40,320 — each combination in 7! = 5,040 orders.
Row sum: 28 = 256 — all subsets of 8 items.
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
n choose 7 for other n
FAQ
What is 8 choose 7?
8 choose 7 is 8
Why is 8 choose 7 the same as 8 choose 1?
Every way to choose 7 of 8 items leaves exactly 1 behind, so choosing 7 and choosing which one to leave out are the same count: 8 choose 7 = 8 choose 1 = 8. In the formula n! / (k! (n − k)!) the two factorials below just swap places.
How many ways are there if order matters?
P(8, 7) = 40,320. Each of the 8 combinations can be put in order in 7! = 5,040 ways, so permutations = combinations × k!: P(n, k) = n! / (n − k)!.
See Also
- 7 Choose 5: Combinations C(7, 5)
- 7 Choose 6: Combinations C(7, 6)
- 7 Choose 7: Combinations C(7, 7)
- 8 Choose 0: Combinations C(8, 0)
- 8 Choose 1: Combinations C(8, 1)
- 8 Choose 2: Combinations C(8, 2)
- 8 Choose 3: Combinations C(8, 3)
- 8 Choose 4: Combinations C(8, 4)
- 8 Choose 5: Combinations C(8, 5)
- 8 Choose 6: Combinations C(8, 6)
- 8 Choose 8: Combinations C(8, 8)
- 9 Choose 0: Combinations C(9, 0)
- 9 Choose 1: Combinations C(9, 1)
- 9 Choose 2: Combinations C(9, 2)
- 9 Choose 3: Combinations C(9, 3)
- 9 Choose 4: Combinations C(9, 4)
- 9 Choose 5: Combinations C(9, 5)
- 9 Choose 6: Combinations C(9, 6)
- 9 Choose 7: Combinations C(9, 7)
- 9 Choose 8: Combinations C(9, 8)
- Число сочетаний из 8 по 7
- Combinaciones de 8 tomados de 7 en 7: C(8, 7)
- Combinação de 8 tomados 7 a 7: C(8, 7)