10 Choose 1
Combination Calculator
What is 10 choose 1?
Answer
10 choose 1 is
10
Order doesn't matter, no repeats: 10 ways to choose 1 of 10 items.
C(10, 1) = 10! / (1! · 9!)
= 10 / 1
= 10
Row sum: 210 = 1,024 — all subsets of 10 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 1 for other n
FAQ
What is 10 choose 1?
10 choose 1 is 10
Why is 10 choose 1 the same as 10 choose 9?
Every way to choose 1 of 10 items leaves exactly 9 behind, so choosing 1 and choosing which 9 to leave out are the same count: 10 choose 1 = 10 choose 9 = 10. In the formula n! / (k! (n − k)!) the two factorials below just swap places.
How many ways are there if order matters?
The same 10: with 1 chosen item there is only one order, so P(10, 1) = 10 choose 1 = 10. Order starts to matter from 2 items on: n × (n − 1) arrangements.
See Also
- 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)
- 9 Choose 9: Combinations C(9, 9)
- 10 Choose 0: Combinations C(10, 0)
- 10 Choose 2: Combinations C(10, 2)
- 10 Choose 3: Combinations C(10, 3)
- 10 Choose 4: Combinations C(10, 4)
- 10 Choose 5: Combinations C(10, 5)
- 10 Choose 6: Combinations C(10, 6)
- 10 Choose 7: Combinations C(10, 7)
- 10 Choose 8: Combinations C(10, 8)
- 10 Choose 9: Combinations C(10, 9)
- 10 Choose 10: Combinations C(10, 10)
- 11 Choose 0: Combinations C(11, 0)
- Число сочетаний из 10 по 1
- Combinaciones de 10 tomados de 1 en 1: C(10, 1)
- Combinação de 10 tomados 1 a 1: C(10, 1)