1 Choose 3

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

What is 1 choose 3?

Answer

1 choose 3 is
0

Order doesn't matter, no repeats: you can't choose 3 items from 1, so there are 0 ways.

3 > 1 → C(1, 3) = 0

If order matters (permutations): P(1, 3) = 0 too.

Row 1 of Pascal's triangle
k1 choose k
01
11

Row sum: 21 = 2 — all subsets of 1 item.

k = 3 is past the end of row 1.

See Also

FAQ

What is 1 choose 3?

1 choose 3 is 0

Why is 1 choose 3 zero?

You can't pick 3 different items when there are only 1, so there are no ways at all and the answer is 0, not an error. Often the numbers are swapped: 3 choose 1 = 3.

How many ways are there if order matters?

Still none: 3 different items can't be taken from 1 in any order, so P(1, 3) = 0 too.