# In how many ways can you arrange 5 green balls ,4 red balls, 3 blue balls and 2 white ball in a line If balls of the same color are indistinguishable?

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In how many ways can you arrange 5 green balls ,4 red balls, 3 blue balls and 2 white ball in a line If balls of the same color are indistinguishable?

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Number of ways = $\frac{14|!}{5!4!3!2!}= \frac{14\times13\times12\times11\times10\times9\times8\times7\times6\times5!}{5!\times24\times6\times2}$

= 14 x 13 x 11 x 10 x 9 x 2 x 7

= 2522520

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