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there are two parts to this question we're going to do the first part then I'll type the second part at the first part is complete.Dave wants to buy a new collar for each of his three dogs. The collars come in a choice of nine different colors. step 1: how many selections of collars for the three dogs are possible if repetition of colors are allowed?

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ANSWER

Number of selection possible = 729

Number of dog =3

Number of colors he wants to buy for each dog = 9

If repetition of colors are allowed, the number of selection for the three dogs

= 9³ = 729

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