12 Choose 1

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

What is 12 choose 1?

Answer

12 choose 1 is
12

Order doesn't matter, no repeats: 12 ways to choose 1 of 12 items.

C(12, 1) = 12! / (1! · 11!)

= 12 / 1

= 12

Row 12 of Pascal's triangle
k12 choose k
01
112
266
3220
4495
5792
6924
7792
8495
9220
1066
1112
121

Row sum: 212 = 4,096 — all subsets of 12 items.

See Also

Recalculate with different values ↑

n choose 1 for other n

n choose 1Answer
5 choose 15
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

FAQ

What is 12 choose 1?

12 choose 1 is 12

Why is 12 choose 1 the same as 12 choose 11?

Every way to choose 1 of 12 items leaves exactly 11 behind, so choosing 1 and choosing which 11 to leave out are the same count: 12 choose 1 = 12 choose 11 = 12. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

The same 12: with 1 chosen item there is only one order, so P(12, 1) = 12 choose 1 = 12. Order starts to matter from 2 items on: n × (n − 1) arrangements.

See Also