3 Choose 4

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

What is 3 choose 4?

Answer

3 choose 4 is
0

Order doesn't matter, no repeats: you can't choose 4 items from 3, so there are 0 ways.

4 > 3 → C(3, 4) = 0

If order matters (permutations): P(3, 4) = 0 too.

Row 3 of Pascal's triangle
k3 choose k
01
13
23
31

Row sum: 23 = 8 — all subsets of 3 items.

k = 4 is past the end of row 3.

See Also

Recalculate with different values ↑

n choose 4 for other n

n choose 4Answer
1 choose 40
2 choose 40
3 choose 40
4 choose 41
5 choose 45
6 choose 415
7 choose 435
8 choose 470
9 choose 4126
10 choose 4210
11 choose 4330
12 choose 4495
13 choose 4715
14 choose 41,001
15 choose 41,365

FAQ

What is 3 choose 4?

3 choose 4 is 0

Why is 3 choose 4 zero?

You can't pick 4 different items when there are only 3, so there are no ways at all and the answer is 0, not an error. Often the numbers are swapped: 4 choose 3 = 4.

How many ways are there if order matters?

Still none: 4 different items can't be taken from 3 in any order, so P(3, 4) = 0 too.

See Also