Calculators & Converters

    What is 12 CHOOSE 6 or Value of 12C6?

    nCr - Combination Calculator

    12 CHOOSE 6 = 924 possible combinations.
    924 is the total number of all possible combinations for choosing 6 elements at a time from 12 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 12 CHOOSE 6 can also be written as 12C6 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    11 CHOOSE 511C5462
    11 CHOOSE 611C6462
    11 CHOOSE 711C7330
    12 CHOOSE 512C5792
    12 CHOOSE 612C6924
    12 CHOOSE 612C6924

    How to Find 12C6 or 12 CHOOSE 6?

    The below is the complete work with step by step calculation for 12 CHOOSE 6 may helpful for grade school students to learn how find all possible combinations of 12C6 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 12 CHOOSE 6 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 12
    k = 6
    Find what is 12 CHOOSE 6?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    12 CHOOSE 6 =12!/6! (12 - 6)!

    step 3 Find the factorial for 12!, 6! & 6!, substitute the corresponding values in the below expression and simplify.

    12C6 = 12!/6! (6)!

    =1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12/(1 x 2 x 3 x 4 x 5 x 6) (1 x 2 x 3 x 4 x 5 x 6)

    = 7 x 8 x 9 x 10 x 11 x 12/720
    = 665280/720

    12C6 = 924

    924 total possible combinations for 12 CHOOSE 6

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