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Mathematics, 16.04.2020 00:18 yairreyes01

A store sells rings with birthstones selected from the 12 different months of the year. The stones are arranged in a row.

Part A: Mary picks a topaz, sapphire, and a ruby set in a line for her ring. How many ways can these 3 stones be arranged?

Part B: How many permutations are possible with 4 different stones of any month?

Part C: Suppose you choose a ring with 5 different stones. Will you have more options if the order of the stones matter or if the order of the stones does not matter? Justify your answer using numbers and words.

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