4 Choose 1

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

What is 4 choose 1?

Answer

4 choose 1 is
4

Order doesn't matter, no repeats: 4 ways to choose 1 of 4 items.

C(4, 1) = 4! / (1! · 3!)

= 4 / 1

= 4

Row 4 of Pascal's triangle
k4 choose k
01
14
26
34
41

Row sum: 24 = 16 — all subsets of 4 items.

See Also

Recalculate with different values ↑

n choose 1 for other n

n choose 1Answer
1 choose 11
2 choose 12
3 choose 13
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

FAQ

What is 4 choose 1?

4 choose 1 is 4

Why is 4 choose 1 the same as 4 choose 3?

Every way to choose 1 of 4 items leaves exactly 3 behind, so choosing 1 and choosing which 3 to leave out are the same count: 4 choose 1 = 4 choose 3 = 4. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

How many ways are there if order matters?

The same 4: with 1 chosen item there is only one order, so P(4, 1) = 4 choose 1 = 4. Order starts to matter from 2 items on: n × (n − 1) arrangements.

See Also