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HMMT November 2011 T7

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Julia is learning how to write the letter C. She has 6 differently-colored crayons, and wants to write Cc Cc Cc Cc Cc . In how many ways can she write the ten Cs , in such a way that each upper case C is a different color, each lower case C is a different color, and in each pair the upper case C and lower case C are different colors?

Dataset text NuminaMath olympiads. Quoted with source.

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