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3 Choose 4

Combination Calculator

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
k	3 choose k
0	1
1	3
2	3
3	1

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

k = 4 is past the end of row 3.

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https://calculat.io/en/number/combinations/3--4

<a href="https://calculat.io/en/number/combinations/3--4">3 Choose 4: Combinations C(3, 4) - Calculatio</a>

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3 Choose 4: Combinations C(3, 4). 3 choose 4 = 0: you can't choose 4 of 3 items without repeats, so there are 0 ways when order doesn't matter.

https://calculat.io/en/number/combinations/3--4/generated.jpg

n choose 4 for other n

n choose 4	Answer
1 choose 4	0
2 choose 4	0
3 choose 4	0
4 choose 4	1
5 choose 4	5
6 choose 4	15
7 choose 4	35
8 choose 4	70
9 choose 4	126
10 choose 4	210
11 choose 4	330
12 choose 4	495
13 choose 4	715
14 choose 4	1,001
15 choose 4	1,365

Recalculate with different values ↑

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.