Calculators & Converters

    What is 18 CHOOSE 12 or 18C12?

    nCr - Combination Calculator

    18 CHOOSE 12 = 18564 possible combinations.
    18564 is the total number of all possible combinations for choosing 12 elements at a time from 18 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 18 CHOOSE 12 can also be written as 18C12 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    11 CHOOSE 1111C11
    12 CHOOSE 1112C1112
    12 CHOOSE 1212C12

    How to Find 18C12 or 18 CHOOSE 12?

    The below is the complete work with step by step calculation for 18 CHOOSE 12 may helpful for grade school students to learn how find all possible combinations of 18C12 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 18 CHOOSE 12 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 18
    k = 12
    Find what is 18 CHOOSE 12?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    18 CHOOSE 12 =18!/12! (18 - 12)!

    step 3 Find the factorial for 18!, 12! & 6!, substitute the corresponding values in the below expression and simplify.

    18C12 = 18!/12! (6)!

    =1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 x 15 x 16 x 17 x 18/(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)

    = 13 x 14 x 15 x 16 x 17 x 18/720
    = 13366080/720

    18C12 = 18564

    18564 total possible combinations for 18 CHOOSE 12

    getcalc.com Calculators