11 Choose 1

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

What is 11 choose 1?

Answer

11 choose 1 is
11

Order doesn't matter, no repeats: 11 ways to choose 1 of 11 items.

C(11, 1) = 11! / (1! · 10!)

= 11 / 1

= 11

Row 11 of Pascal's triangle
k11 choose k
01
111
255
3165
4330
5462
6462
7330
8165
955
1011
111

Row sum: 211 = 2,048 — all subsets of 11 items.

See Also

Recalculate with different values ↑

n choose 1 for other n

n choose 1Answer
4 choose 14
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

FAQ

What is 11 choose 1?

11 choose 1 is 11

Why is 11 choose 1 the same as 11 choose 10?

Every way to choose 1 of 11 items leaves exactly 10 behind, so choosing 1 and choosing which 10 to leave out are the same count: 11 choose 1 = 11 choose 10 = 11. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

The same 11: with 1 chosen item there is only one order, so P(11, 1) = 11 choose 1 = 11. Order starts to matter from 2 items on: n × (n − 1) arrangements.

See Also