Calculators & Converters

    What is 3 CHOOSE 2 or Value of 3C2?

    nCr - Combination Calculator

    3 CHOOSE 2 = 3 possible combinations.
    3 is the total number of all possible combinations for choosing 2 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 2 can also be written as 3C2 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    2 CHOOSE 12C12
    2 CHOOSE 22C2
    3 CHOOSE 13C13
    3 CHOOSE 23C23
    3 CHOOSE 23C23
    3 CHOOSE 33C3

    How to Find 3C2 or 3 CHOOSE 2?

    The below is the complete work with step by step calculation for 3 CHOOSE 2 may helpful for grade school students to learn how find all possible combinations of 3C2 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 3 CHOOSE 2 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 3
    k = 2
    Find what is 3 CHOOSE 2?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    3 CHOOSE 2 =3!/2! (3 - 2)!

    step 3 Find the factorial for 3!, 2! & 1!, substitute the corresponding values in the below expression and simplify.

    3C2 = 3!/2! (1)!

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

    = 3/1
    = 3/1

    3C2 = 3

    3 total possible combinations for 3 CHOOSE 2

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