Calculators & Converters

    What is 6 CHOOSE 4 or Value of 6C4?

    nCr - Combination Calculator

    6 CHOOSE 4 = 15 possible combinations.
    15 is the total number of all possible combinations for choosing 4 elements at a time from 6 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 6 CHOOSE 4 can also be written as 6C4 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    5 CHOOSE 35C310
    5 CHOOSE 45C45
    5 CHOOSE 55C5
    6 CHOOSE 36C320
    6 CHOOSE 46C415
    6 CHOOSE 46C415

    How to Find 6C4 or 6 CHOOSE 4?

    The below is the complete work with step by step calculation for 6 CHOOSE 4 may helpful for grade school students to learn how find all possible combinations of 6C4 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 6 CHOOSE 4 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 6
    k = 4
    Find what is 6 CHOOSE 4?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    6 CHOOSE 4 =6!/4! (6 - 4)!

    step 3 Find the factorial for 6!, 4! & 2!, substitute the corresponding values in the below expression and simplify.

    6C4 = 6!/4! (2)!

    =1 x 2 x 3 x 4 x 5 x 6/(1 x 2 x 3 x 4) (1 x 2)

    = 5 x 6/2
    = 30/2

    6C4 = 15

    15 total possible combinations for 6 CHOOSE 4

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