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    14 Choose 1

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

    What is 14 choose 1?

    Answer

    14 choose 1 is
    14

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

    C(14, 1) = 14! / (1! · 13!)

    = 14 / 1

    = 14

    Row 14 of Pascal's triangle
    k14 choose k
    01
    114
    291
    3364
    41,001
    52,002
    63,003
    73,432
    83,003
    92,002
    101,001
    11364
    1291
    1314
    141

    Row sum: 214 = 16,384 — all subsets of 14 items.

    See Also

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    https://calculat.io/en/number/combinations/14--1Copy
    <a href="https://calculat.io/en/number/combinations/14--1">14 Choose 1: Combinations C(14, 1) - Calculatio</a>Copy
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    14 Choose 1: Combinations C(14, 1). 14 choose 1 = 14: the number of ways to choose 1 of 14 items when order doesn't matter and nothing repeats. C(14, 1) = 14 / 1.
    https://calculat.io/en/number/combinations/14--1/generated.jpgCopy

    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
    Recalculate with different values ↑

    FAQ

    What is 14 choose 1?

    14 choose 1 is 14

    Why is 14 choose 1 the same as 14 choose 13?

    Every way to choose 1 of 14 items leaves exactly 13 behind, so choosing 1 and choosing which 13 to leave out are the same count: 14 choose 1 = 14 choose 13 = 14. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

    How many ways are there if order matters?

    The same 14: with 1 chosen item there is only one order, so P(14, 1) = 14 choose 1 = 14. Order starts to matter from 2 items on: n × (n − 1) arrangements.

    See Also