Calculators & Converters

    What is 12 CHOOSE 4 or Value of 12C4?

    nCr - Combination Calculator

    12 CHOOSE 4 = 495 possible combinations.
    495 is the total number of all possible combinations for choosing 4 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 4 can also be written as 12C4 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    11 CHOOSE 311C3165
    11 CHOOSE 411C4330
    11 CHOOSE 511C5462
    12 CHOOSE 312C3220
    12 CHOOSE 412C4495
    12 CHOOSE 412C4495

    How to Find 12C4 or 12 CHOOSE 4?

    The below is the complete work with step by step calculation for 12 CHOOSE 4 may helpful for grade school students to learn how find all possible combinations of 12C4 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 4 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 12
    k = 4
    Find what is 12 CHOOSE 4?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    12 CHOOSE 4 =12!/4! (12 - 4)!

    step 3 Find the factorial for 12!, 4! & 8!, substitute the corresponding values in the below expression and simplify.

    12C4 = 12!/4! (8)!

    =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) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8)

    = 9 x 10 x 11 x 12/24
    = 11880/24

    12C4 = 495

    495 total possible combinations for 12 CHOOSE 4

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