14 Choose 1

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

What is 14 choose 1?

Answer

14 choose 1 is
14

Order doesn't matter, no repeats: 14 ways to choose 1 of 14 items.

C(14, 1) = 14! / (1! · 13!)

= 14 / 1

= 14

Row 14 of Pascal's triangle
k14 choose k
01
114
291
3364
41,001
52,002
63,003
73,432
83,003
92,002
101,001
11364
1291
1314
141

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

See Also

Recalculate with different values ↑

n choose 1 for other n

n choose 1Answer
6 choose 16
7 choose 17
8 choose 18
9 choose 19
10 choose 110
11 choose 111
12 choose 112
13 choose 113
14 choose 114
15 choose 115
16 choose 116
17 choose 117
18 choose 118
19 choose 119
20 choose 120

FAQ

What is 14 choose 1?

14 choose 1 is 14

Why is 14 choose 1 the same as 14 choose 13?

Every way to choose 1 of 14 items leaves exactly 13 behind, so choosing 1 and choosing which 13 to leave out are the same count: 14 choose 1 = 14 choose 13 = 14. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

The same 14: with 1 chosen item there is only one order, so P(14, 1) = 14 choose 1 = 14. Order starts to matter from 2 items on: n × (n − 1) arrangements.

See Also