10 Choose 0
Combination Calculator
What is 10 choose 0?
Answer
10 choose 0 is
1
Order doesn't matter, no repeats: 1 way to choose 0 of 10 items.
There is exactly one way: take none.
C(10, 0) = 10! / (0! · 10!)
= 1
0! = 1 (an empty product), so 10! cancels out completely.
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 0 for other n
FAQ
What is 10 choose 0?
10 choose 0 is 1
Why is 10 choose 0 the same as 10 choose 10?
Every way to choose 0 of 10 items leaves exactly 10 behind, so choosing 0 and choosing which 10 to leave out are the same count: 10 choose 0 = 10 choose 10 = 1. In the formula n! / (k! (n − k)!) the two factorials below just swap places.
How many ways are there if order matters?
The same 1: with 0 chosen items there is only one order, so P(10, 0) = 10 choose 0 = 1. Order starts to matter from 2 items on: n × (n − 1) arrangements.
See Also
- 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)
- 9 Choose 9: Combinations C(9, 9)
- 10 Choose 1: Combinations C(10, 1)
- 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)
- Число сочетаний из 10 по 0
- Combinaciones de 10 tomados de 0 en 0: C(10, 0)
- Combinação de 10 tomados 0 a 0: C(10, 0)