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Yolanda has 3 each of red, blue, green marbles. How many possible ways can 9 marbles be arranged in a row

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Answer:

Possible ways can 9 marbles be arranged in a row = 1680

Step-by-step explanation:

The number of different permutations of n objects where one object repeats a times, a second object repeats b times, and so on is [tex]\frac{n!}{a!*b!*.....}[/tex]

Here n = 9, a = 3, b =3, c = 3

Number of permutations = [tex]\frac{9!}{3!*3!*3!}=\frac{362880}{6*6*6} =1680ways[/tex]