Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V


    You can also email us on infocalculat.io

    8 Choose 7

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

    What is 8 choose 7?

    Answer

    8 choose 7 is
    8

    Order doesn't matter, no repeats: 8 ways to choose 7 of 8 items.

    Choosing 7 of 8 is the same as leaving 1 out: C(8, 7) = C(8, 1).

    C(8, 7) = 8! / (7! · 1!)

    = C(8, 1)

    = 8 / 1

    = 8

    If order matters (permutations): P(8, 7) = 8 × 7 × 6 × … × 2 = 40,320 — each combination in 7! = 5,040 orders.

    Row 8 of Pascal's triangle
    k8 choose k
    01
    18
    228
    356
    470
    556
    628
    78
    81

    Row sum: 28 = 256 — all subsets of 8 items.

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/combinations/8--7Copy
    <a href="https://calculat.io/en/number/combinations/8--7">8 Choose 7: Combinations C(8, 7) - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    8 Choose 7: Combinations C(8, 7). 8 choose 7 = 8: the number of ways to choose 7 of 8 items when order doesn't matter and nothing repeats. C(8, 7) = 8 / 1.
    https://calculat.io/en/number/combinations/8--7/generated.jpgCopy