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    11 Choose 1

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

    What is 11 choose 1?

    Answer

    11 choose 1 is
    11

    Order doesn't matter, no repeats: 11 ways to choose 1 of 11 items.

    C(11, 1) = 11! / (1! · 10!)

    = 11 / 1

    = 11

    Row 11 of Pascal's triangle
    k11 choose k
    01
    111
    255
    3165
    4330
    5462
    6462
    7330
    8165
    955
    1011
    111

    Row sum: 211 = 2,048 — all subsets of 11 items.

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    https://calculat.io/en/number/combinations/11--1Copy
    <a href="https://calculat.io/en/number/combinations/11--1">11 Choose 1: Combinations C(11, 1) - Calculatio</a>Copy
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    11 Choose 1: Combinations C(11, 1). 11 choose 1 = 11: the number of ways to choose 1 of 11 items when order doesn't matter and nothing repeats. C(11, 1) = 11 / 1.
    https://calculat.io/en/number/combinations/11--1/generated.jpgCopy

    n choose 1 for other n

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

    FAQ

    What is 11 choose 1?

    11 choose 1 is 11

    Why is 11 choose 1 the same as 11 choose 10?

    Every way to choose 1 of 11 items leaves exactly 10 behind, so choosing 1 and choosing which 10 to leave out are the same count: 11 choose 1 = 11 choose 10 = 11. In the formula n! / (k! (n − k)!) the two factorials below just swap places.

    How many ways are there if order matters?

    The same 11: with 1 chosen item there is only one order, so P(11, 1) = 11 choose 1 = 11. Order starts to matter from 2 items on: n × (n − 1) arrangements.

    See Also