Calculators & Converters

    What is 12 CHOOSE 11 or 12C11?

    nCr - Combination Calculator

    12 CHOOSE 11 = 12 possible combinations.
    12 is the total number of all possible combinations for choosing 11 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 11 can also be written as 12C11 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    11 CHOOSE 1011C1011
    11 CHOOSE 1111C11
    12 CHOOSE 1012C1066
    12 CHOOSE 1112C1112
    12 CHOOSE 1112C1112
    12 CHOOSE 1212C12

    How to Find 12C11 or 12 CHOOSE 11?

    The below is the complete work with step by step calculation for 12 CHOOSE 11 may helpful for grade school students to learn how find all possible combinations of 12C11 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 12 CHOOSE 11 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 12
    k = 11
    Find what is 12 CHOOSE 11?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    12 CHOOSE 11 =12!/11! (12 - 11)!

    step 3 Find the factorial for 12!, 11! & 1!, substitute the corresponding values in the below expression and simplify.

    12C11 = 12!/11! (1)!

    =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 x 7 x 8 x 9 x 10 x 11) (1)

    = 12/1
    = 12/1

    12C11 = 12

    12 total possible combinations for 12 CHOOSE 11

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