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    15 Choose 1

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

    What is 15 choose 1?

    Answer

    15 choose 1 is
    15

    Order doesn't matter, no repeats: 15 ways to choose 1 of 15 items.

    C(15, 1) = 15! / (1! · 14!)

    = 15 / 1

    = 15

    Row 15 of Pascal's triangle
    k15 choose k
    01
    115
    2105
    3455
    41,365
    53,003
    65,005
    76,435
    86,435
    95,005
    103,003
    111,365
    12455
    13105
    1415
    151

    Row sum: 215 = 32,768 — all subsets of 15 items.

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    https://calculat.io/en/number/combinations/15--1Copy
    <a href="https://calculat.io/en/number/combinations/15--1">15 Choose 1: Combinations C(15, 1) - Calculatio</a>Copy
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    15 Choose 1: Combinations C(15, 1). 15 choose 1 = 15: the number of ways to choose 1 of 15 items when order doesn't matter and nothing repeats. C(15, 1) = 15 / 1.
    https://calculat.io/en/number/combinations/15--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 15 choose 1?

    15 choose 1 is 15

    Why is 15 choose 1 the same as 15 choose 14?

    Every way to choose 1 of 15 items leaves exactly 14 behind, so choosing 1 and choosing which 14 to leave out are the same count: 15 choose 1 = 15 choose 14 = 15. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

    How many ways are there if order matters?

    The same 15: with 1 chosen item there is only one order, so P(15, 1) = 15 choose 1 = 15. Order starts to matter from 2 items on: n × (n − 1) arrangements.

    See Also