9 Choose 0
Combination Calculator
What is 9 choose 0?
Answer
9 choose 0 is
1
Order doesn't matter, no repeats: 1 way to choose 0 of 9 items.
There is exactly one way: take none.
C(9, 0) = 9! / (0! · 9!)
= 1
0! = 1 (an empty product), so 9! cancels out completely.
Row sum: 29 = 512 — all subsets of 9 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 9 choose 0?
9 choose 0 is 1
Why is 9 choose 0 the same as 9 choose 9?
Every way to choose 0 of 9 items leaves exactly 9 behind, so choosing 0 and choosing which 9 to leave out are the same count: 9 choose 0 = 9 choose 9 = 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(9, 0) = 9 choose 0 = 1. Order starts to matter from 2 items on: n × (n − 1) arrangements.
See Also
- 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 7: Combinations C(8, 7)
- 8 Choose 8: Combinations C(8, 8)
- 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)
- Число сочетаний из 9 по 0
- Combinaciones de 9 tomados de 0 en 0: C(9, 0)
- Combinação de 9 tomados 0 a 0: C(9, 0)