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2 Choose 5

Combination Calculator

What is 2 choose 5?

Answer

2 choose 5 is

0

Order doesn't matter, no repeats: you can't choose 5 items from 2, so there are 0 ways.

5 > 2 → C(2, 5) = 0

If order matters (permutations): P(2, 5) = 0 too.

Row 2 of Pascal's triangle
k	2 choose k
0	1
1	2
2	1

Row sum: 2² = 4 — all subsets of 2 items.

k = 5 is past the end of row 2.

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https://calculat.io/en/number/combinations/2--5

<a href="https://calculat.io/en/number/combinations/2--5">2 Choose 5: Combinations C(2, 5) - Calculatio</a>

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2 Choose 5: Combinations C(2, 5). 2 choose 5 = 0: you can't choose 5 of 2 items without repeats, so there are 0 ways when order doesn't matter.

https://calculat.io/en/number/combinations/2--5/generated.jpg

n choose 5 for other n

n choose 5	Answer
2 choose 5	0
5 choose 5	1
6 choose 5	6
7 choose 5	21
8 choose 5	56
9 choose 5	126
10 choose 5	252
11 choose 5	462
12 choose 5	792
13 choose 5	1,287
14 choose 5	2,002
15 choose 5	3,003
16 choose 5	4,368
17 choose 5	6,188
18 choose 5	8,568

Recalculate with different values ↑

FAQ

What is 2 choose 5?

2 choose 5 is 0

Why is 2 choose 5 zero?

You can't pick 5 different items when there are only 2, so there are no ways at all and the answer is 0, not an error. Often the numbers are swapped: 5 choose 2 = 10.

How many ways are there if order matters?

Still none: 5 different items can't be taken from 2 in any order, so P(2, 5) = 0 too.