11 Choose 0

Combination Calculator

What is 11 choose 0?

Answer

11 choose 0 is

Order doesn't matter, no repeats: 1 way to choose 0 of 11 items.

There is exactly one way: take none.

C(11, 0) = 11! / (0! · 11!)

= 1

0! = 1 (an empty product), so 11! cancels out completely.

Row 11 of Pascal's triangle
k	11 choose k
0	1
1	11
2	55
3	165
4	330
5	462
6	462
7	330
8	165
9	55
10	11
11	1

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

Found an error in the calculation or the information?

n choose 0 for other n

n choose 0	Answer
4 choose 0	1
5 choose 0	1
6 choose 0	1
7 choose 0	1
8 choose 0	1
9 choose 0	1
10 choose 0	1
11 choose 0	1
12 choose 0	1
13 choose 0	1
14 choose 0	1
15 choose 0	1
16 choose 0	1
17 choose 0	1
18 choose 0	1

Recalculate with different values ↑

FAQ

What is 11 choose 0?

11 choose 0 is 1

Why is 11 choose 0 the same as 11 choose 11?

Every way to choose 0 of 11 items leaves exactly 11 behind, so choosing 0 and choosing which 11 to leave out are the same count: 11 choose 0 = 11 choose 11 = 1. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

The same 1: with 0 chosen items there is only one order, so P(11, 0) = 11 choose 0 = 1. Order starts to matter from 2 items on: n × (n − 1) arrangements.

11 Choose 0

What is 11 choose 0?

See Also

n choose 0 for other n

FAQ

What is 11 choose 0?

Why is 11 choose 0 the same as 11 choose 11?

How many ways are there if order matters?

See Also