19 Choose 1

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

What is 19 choose 1?

Answer

19 choose 1 is
19

Order doesn't matter, no repeats: 19 ways to choose 1 of 19 items.

C(19, 1) = 19! / (1! · 18!)

= 19 / 1

= 19

Row 19 of Pascal's triangle
k19 choose k
01
119
2171
3969
43,876
511,628
627,132
750,388
875,582
992,378
1092,378
1175,582
1250,388
1327,132
1411,628
153,876
16969
17171
1819
191

Row sum: 219 = 524,288 — all subsets of 19 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 19 choose 1?

19 choose 1 is 19

Why is 19 choose 1 the same as 19 choose 18?

Every way to choose 1 of 19 items leaves exactly 18 behind, so choosing 1 and choosing which 18 to leave out are the same count: 19 choose 1 = 19 choose 18 = 19. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

The same 19: with 1 chosen item there is only one order, so P(19, 1) = 19 choose 1 = 19. Order starts to matter from 2 items on: n × (n − 1) arrangements.

See Also