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    19 Choose 1

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

    What is 19 choose 1?

    Answer

    19 choose 1 is
    19

    Order doesn't matter, no repeats: 19 ways to choose 1 of 19 items.

    C(19, 1) = 19! / (1! · 18!)

    = 19 / 1

    = 19

    Row 19 of Pascal's triangle
    k19 choose k
    01
    119
    2171
    3969
    43,876
    511,628
    627,132
    750,388
    875,582
    992,378
    1092,378
    1175,582
    1250,388
    1327,132
    1411,628
    153,876
    16969
    17171
    1819
    191

    Row sum: 219 = 524,288 — all subsets of 19 items.

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    https://calculat.io/en/number/combinations/19--1Copy
    <a href="https://calculat.io/en/number/combinations/19--1">19 Choose 1: Combinations C(19, 1) - Calculatio</a>Copy
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    19 Choose 1: Combinations C(19, 1). 19 choose 1 = 19: the number of ways to choose 1 of 19 items when order doesn't matter and nothing repeats. C(19, 1) = 19 / 1.
    https://calculat.io/en/number/combinations/19--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 19 choose 1?

    19 choose 1 is 19

    Why is 19 choose 1 the same as 19 choose 18?

    Every way to choose 1 of 19 items leaves exactly 18 behind, so choosing 1 and choosing which 18 to leave out are the same count: 19 choose 1 = 19 choose 18 = 19. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

    How many ways are there if order matters?

    The same 19: with 1 chosen item there is only one order, so P(19, 1) = 19 choose 1 = 19. Order starts to matter from 2 items on: n × (n − 1) arrangements.

    See Also