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    10 Choose 1

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

    What is 10 choose 1?

    Answer

    10 choose 1 is
    10

    Order doesn't matter, no repeats: 10 ways to choose 1 of 10 items.

    C(10, 1) = 10! / (1! · 9!)

    = 10 / 1

    = 10

    Row 10 of Pascal's triangle
    k10 choose k
    01
    110
    245
    3120
    4210
    5252
    6210
    7120
    845
    910
    101

    Row sum: 210 = 1,024 — all subsets of 10 items.

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    https://calculat.io/en/number/combinations/10--1Copy
    <a href="https://calculat.io/en/number/combinations/10--1">10 Choose 1: Combinations C(10, 1) - Calculatio</a>Copy
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    10 Choose 1: Combinations C(10, 1). 10 choose 1 = 10: the number of ways to choose 1 of 10 items when order doesn't matter and nothing repeats. C(10, 1) = 10 / 1.
    https://calculat.io/en/number/combinations/10--1/generated.jpgCopy

    n choose 1 for other n

    n choose 1Answer
    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
    16 choose 116
    17 choose 117
    Recalculate with different values ↑

    FAQ

    What is 10 choose 1?

    10 choose 1 is 10

    Why is 10 choose 1 the same as 10 choose 9?

    Every way to choose 1 of 10 items leaves exactly 9 behind, so choosing 1 and choosing which 9 to leave out are the same count: 10 choose 1 = 10 choose 9 = 10. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

    How many ways are there if order matters?

    The same 10: with 1 chosen item there is only one order, so P(10, 1) = 10 choose 1 = 10. Order starts to matter from 2 items on: n × (n − 1) arrangements.

    See Also