Calculators & Converters

    What is 9 CHOOSE 5 or Value of 9C5?

    nCr - Combination Calculator

    9 CHOOSE 5 = 126 possible combinations.
    126 is the total number of all possible combinations for choosing 5 elements at a time from 9 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 9 CHOOSE 5 can also be written as 9C5 in the format of nCr or nCk.

    n CHOOSE knCkCombinations
    8 CHOOSE 48C470
    8 CHOOSE 58C556
    8 CHOOSE 68C628
    9 CHOOSE 49C4126
    9 CHOOSE 59C5126
    9 CHOOSE 59C5126

    How to Find 9C5 or 9 CHOOSE 5?

    The below is the complete work with step by step calculation for 9 CHOOSE 5 may helpful for grade school students to learn how find all possible combinations of 9C5 for sample space S in the statistical experiment or to solve the combinations worksheet problems by just changing the corresponding input values of 9 CHOOSE 5 calculator.

    Workout :
    step 1 Address the formula, input parameters & values
    n = 9
    k = 5
    Find what is 9 CHOOSE 5?

    step 2 Substitute n and r values in below nCk formula

    nCk = n!/k! (n - k)!
    9 CHOOSE 5 =9!/5! (9 - 5)!

    step 3 Find the factorial for 9!, 5! & 4!, substitute the corresponding values in the below expression and simplify.

    9C5 = 9!/5! (4)!

    =1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9/(1 x 2 x 3 x 4 x 5) (1 x 2 x 3 x 4)

    = 6 x 7 x 8 x 9/24
    = 3024/24

    9C5 = 126

    126 total possible combinations for 9 CHOOSE 5

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