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How many different arrangements of the letters in the word "PURPLE" are there?

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So if you had 6 distinct letters, then you would have 6! = 6*5*4*3*2*1 = 720 different ways to arrange them however, you have two copies of P that are indistinguishable, so we double counted when we got 720, which is why we must divide by 2 to get 720/2 = 360
User James T Snell
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