Question 3 point Suppose there are 6 marbles be selected from a box of 12 marbles. How many possible combinations are there?

Question

Question 3 point
Suppose there are 6 marbles be selected from a box of 12 marbles. How many possible
combinations are there?
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Saeedam

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Athena 2 weeks 2021-09-14T20:22:54+00:00 1 Answer 0

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  1. Emma
    0
    2021-09-14T20:24:45+00:00

    Answer:

    There are 924 possible combinations

    Step-by-step explanation:

    Total Number of marbles = 12

    Number of marbles to be selected = 6

    We are supposed to find the number of possible combinations .

    So, we will use combination .

    Formula: ^nC_r =\frac{n!}{r!(n-r)!}

    n = 12

    r = 6

    Substitute the values in the formula :

    ^{12}C_6 =\frac{12!}{6!(12-6)!}\\^{12}C_6 =\frac{12!}{6!6!}\\^{12}C_6 =924

    Hence there are 924 possible combinations

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