SOLUTION: How many distinct arrangments in a row of 2 yellow, 3 red and 2 white roses can a florist make? Why is the answer 210 arrangements?

Question 1068126: How many distinct arrangments in a row of 2 yellow, 3 red and 2 white roses can a florist make? Why is the answer 210 arrangements?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many distinct arrangments in a row of 2 yellow, 3 red and 2 white roses can a florist make? Why is the answer 210 arrangements?
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Assuming the yellows are indistinguishable, and
the same for the red and the white, the # of arrangements
is 7!/(2!*3!*2!) = 210 arrangements
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Cheers,
Stan H.
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