Calculators & Converters

    What is 3 CHOOSE 3 or 3C3?

    nCr - Combination Calculator

    3 CHOOSE 3 = 1 possible combinations.
    1 is the total number of all possible combinations for choosing 3 elements at a time from 3 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 3 CHOOSE 3 can also be written as 3C3 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    2 CHOOSE 22C2
    3 CHOOSE 23C23
    3 CHOOSE 33C3
    3 CHOOSE 33C3
    4 CHOOSE 24C26
    4 CHOOSE 34C34

    How to Find 3C3 or 3 CHOOSE 3?

    The below is the complete work with step by step calculation for 3 CHOOSE 3 may helpful for grade school students to learn how find all possible combinations of 3C3 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 3 CHOOSE 3 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 3
    k = 3
    Find what is 3 CHOOSE 3?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    3 CHOOSE 3 =3!/3! (3 - 3)!

    step 3 Find the factorial for 3!, 3! & 0!, substitute the corresponding values in the below expression and simplify.

    3C3 = 3!/3! (0)!

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

    = 1/1
    = 1/1

    3C3 = 1

    1 total possible combinations for 3 CHOOSE 3

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