Calculators & Converters

    What is 4 CHOOSE 2 or 4C2?

    nCr - Combination Calculator

    4 CHOOSE 2 = 6 possible combinations.
    6 is the total number of all possible combinations for choosing 2 elements at a time from 4 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 4 CHOOSE 2 can also be written as 4C2 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    3 CHOOSE 13C13
    3 CHOOSE 23C23
    3 CHOOSE 33C3
    4 CHOOSE 14C14
    4 CHOOSE 24C26
    4 CHOOSE 24C26

    How to Find 4C2 or 4 CHOOSE 2?

    The below is the complete work with step by step calculation for 4 CHOOSE 2 may helpful for grade school students to learn how find all possible combinations of 4C2 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 4 CHOOSE 2 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 4
    k = 2
    Find what is 4 CHOOSE 2?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    4 CHOOSE 2 =4!/2! (4 - 2)!

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

    4C2 = 4!/2! (2)!

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

    = 3 x 4/2
    = 12/2

    4C2 = 6

    6 total possible combinations for 4 CHOOSE 2

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