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In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. The cards in Ms. Q's deck are shown below.

How many 5 card hands can Yunseol draw from Ms. Q's deck, so that exactly three of the cards have the same color?

 
 May 23, 2024

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