2 Choose 5

Combination Calculator
Total items (n)
Items chosen (k)

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
k2 choose k
01
12
21

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

k = 5 is past the end of row 2.

See Also

Recalculate with different values ↑

n choose 5 for other n

n choose 5Answer
2 choose 50
5 choose 51
6 choose 56
7 choose 521
8 choose 556
9 choose 5126
10 choose 5252
11 choose 5462
12 choose 5792
13 choose 51,287
14 choose 52,002
15 choose 53,003
16 choose 54,368
17 choose 56,188
18 choose 58,568

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.

See Also