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14 Choose 2

Combination Calculator

What is 14 choose 2?

Answer

14 choose 2 is

91

Order doesn't matter, no repeats: 91 ways to choose 2 of 14 items.

C(14, 2) = 14! / (2! · 12!)

= 91

If order matters (permutations): P(14, 2) = 14 × 13 = 182 — each combination in 2! = 2 orders.

Row 14 of Pascal's triangle
k	14 choose k
0	1
1	14
2	91
3	364
4	1,001
5	2,002
6	3,003
7	3,432
8	3,003
9	2,002
10	1,001
11	364
12	91
13	14
14	1

Row sum: 2¹⁴ = 16,384 — all subsets of 14 items.

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https://calculat.io/en/number/combinations/14--2

<a href="https://calculat.io/en/number/combinations/14--2">14 Choose 2: Combinations C(14, 2) - Calculatio</a>

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14 Choose 2: Combinations C(14, 2). 14 choose 2 = 91: the number of ways to choose 2 of 14 items when order doesn't matter and nothing repeats. C(14, 2) = (14 × 13) / (2 × 1).

https://calculat.io/en/number/combinations/14--2/generated.jpg

n choose 2 for other n

n choose 2	Answer
6 choose 2	15
7 choose 2	21
8 choose 2	28
9 choose 2	36
10 choose 2	45
11 choose 2	55
12 choose 2	66
13 choose 2	78
14 choose 2	91
15 choose 2	105
16 choose 2	120
17 choose 2	136
18 choose 2	153
19 choose 2	171
20 choose 2	190

Recalculate with different values ↑

FAQ

What is 14 choose 2?

14 choose 2 is 91

Why is 14 choose 2 the same as 14 choose 12?

Every way to choose 2 of 14 items leaves exactly 12 behind, so choosing 2 and choosing which 12 to leave out are the same count: 14 choose 2 = 14 choose 12 = 91. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

P(14, 2) = 182. Each of the 91 combinations can be put in order in 2! = 2 ways, so permutations = combinations × k!: P(n, k) = n! / (n − k)!.