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    12 Choose 1

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

    What is 12 choose 1?

    Answer

    12 choose 1 is
    12

    Order doesn't matter, no repeats: 12 ways to choose 1 of 12 items.

    C(12, 1) = 12! / (1! · 11!)

    = 12 / 1

    = 12

    Row 12 of Pascal's triangle
    k12 choose k
    01
    112
    266
    3220
    4495
    5792
    6924
    7792
    8495
    9220
    1066
    1112
    121

    Row sum: 212 = 4,096 — all subsets of 12 items.

    See Also

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    https://calculat.io/en/number/combinations/12--1Copy
    <a href="https://calculat.io/en/number/combinations/12--1">12 Choose 1: Combinations C(12, 1) - Calculatio</a>Copy
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    12 Choose 1: Combinations C(12, 1). 12 choose 1 = 12: the number of ways to choose 1 of 12 items when order doesn't matter and nothing repeats. C(12, 1) = 12 / 1.
    https://calculat.io/en/number/combinations/12--1/generated.jpgCopy

    n choose 1 for other n

    n choose 1Answer
    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
    18 choose 118
    19 choose 119
    Recalculate with different values ↑

    FAQ

    What is 12 choose 1?

    12 choose 1 is 12

    Why is 12 choose 1 the same as 12 choose 11?

    Every way to choose 1 of 12 items leaves exactly 11 behind, so choosing 1 and choosing which 11 to leave out are the same count: 12 choose 1 = 12 choose 11 = 12. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

    How many ways are there if order matters?

    The same 12: with 1 chosen item there is only one order, so P(12, 1) = 12 choose 1 = 12. Order starts to matter from 2 items on: n × (n − 1) arrangements.

    See Also