14 Choose 0

Combination Calculator

What is 14 choose 0?

Answer

14 choose 0 is

Order doesn't matter, no repeats: 1 way to choose 0 of 14 items.

There is exactly one way: take none.

C(14, 0) = 14! / (0! · 14!)

= 1

0! = 1 (an empty product), so 14! cancels out completely.

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.

n choose 0 for other n

n choose 0	Answer
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
19 choose 0	1
20 choose 0	1

FAQ

What is 14 choose 0?

14 choose 0 is 1

Why is 14 choose 0 the same as 14 choose 14?

Every way to choose 0 of 14 items leaves exactly 14 behind, so choosing 0 and choosing which 14 to leave out are the same count: 14 choose 0 = 14 choose 14 = 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(14, 0) = 14 choose 0 = 1. Order starts to matter from 2 items on: n × (n − 1) arrangements.

14 Choose 0

What is 14 choose 0?

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n choose 0 for other n

FAQ

What is 14 choose 0?

Why is 14 choose 0 the same as 14 choose 14?

How many ways are there if order matters?

See Also