Calculators & Converters

    What is 5 CHOOSE 2 or 5C2?

    nCr - Combination Calculator

    5 CHOOSE 2 = 10 possible combinations.
    10 is the total number of all possible combinations for choosing 2 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 2 can also be written as 5C2 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    4 CHOOSE 14C14
    4 CHOOSE 24C26
    4 CHOOSE 34C34
    5 CHOOSE 15C15
    5 CHOOSE 25C210
    5 CHOOSE 25C210

    How to Find 5C2 or 5 CHOOSE 2?

    The below is the complete work with step by step calculation for 5 CHOOSE 2 may helpful for grade school students to learn how find all possible combinations of 5C2 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of this 5 CHOOSE 2 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 5
    k = 2
    Find what is 5 CHOOSE 2?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    5 CHOOSE 2 =5!/2! (5 - 2)!

    step 3 Find the factorial for 5!, 2! & 3!, substitute the corresponding values in the below expression and simplify.

    5C2 = 5!/2! (3)!

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

    = 4 x 5/2
    = 20/2

    5C2 = 10

    10 total possible combinations for 5 CHOOSE 2

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