4 Choose 0
Combination Calculator
What is 4 choose 0?
Answer
4 choose 0 is
1
Order doesn't matter, no repeats: 1 way to choose 0 of 4 items.
There is exactly one way: take none.
C(4, 0) = 4! / (0! · 4!)
= 1
0! = 1 (an empty product), so 4! cancels out completely.
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 4 choose 0?
4 choose 0 is 1
Why is 4 choose 0 the same as 4 choose 4?
Every way to choose 0 of 4 items leaves exactly 4 behind, so choosing 0 and choosing which 4 to leave out are the same count: 4 choose 0 = 4 choose 4 = 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(4, 0) = 4 choose 0 = 1. Order starts to matter from 2 items on: n × (n − 1) arrangements.
See Also
- 2 Choose 2: Combinations C(2, 2)
- 2 Choose 3: Combinations C(2, 3)
- 2 Choose 4: Combinations C(2, 4)
- 2 Choose 5: Combinations C(2, 5)
- 2 Choose 10: Combinations C(2, 10)
- 3 Choose 0: Combinations C(3, 0)
- 3 Choose 1: Combinations C(3, 1)
- 3 Choose 2: Combinations C(3, 2)
- 3 Choose 3: Combinations C(3, 3)
- 3 Choose 4: Combinations C(3, 4)
- 4 Choose 1: Combinations C(4, 1)
- 4 Choose 2: Combinations C(4, 2)
- 4 Choose 3: Combinations C(4, 3)
- 4 Choose 4: Combinations C(4, 4)
- 5 Choose 0: Combinations C(5, 0)
- 5 Choose 1: Combinations C(5, 1)
- 5 Choose 2: Combinations C(5, 2)
- 5 Choose 3: Combinations C(5, 3)
- 5 Choose 4: Combinations C(5, 4)
- 5 Choose 5: Combinations C(5, 5)
- Число сочетаний из 4 по 0
- Combinaciones de 4 tomados de 0 en 0: C(4, 0)
- Combinação de 4 tomados 0 a 0: C(4, 0)