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A mathematical prodigy wishes to put 2 of his indistinguishable IMO gold medals and 2 of his indistinguishable IPhO gold medals and 2 of his indistinguishable IChO gold medals in one row. How many distinct arrangements are possible?

 Jan 7, 2021
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There are 6! ways to arrange 6 indistinguishable medals. But some are indistinguishable so we have to divide by them. 6!/(2!2!2!)=90

:D

 Jan 7, 2021

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