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Missy and Mussy are very messy sisters. Their dresser drawer consists of 43 white socks, 2 black socks, 23 blue socks and 8 red socks. What is the minimum number of socks they must remove from the drawer, in order to be certain that they have removed four socks of the same color?

Missy and Mussy are very messy sisters. Their dresser drawer consists of 43 white socks, 2 black socks, 23 blue socks and 8 red socks. What is the minimum number of socks they must remove from the drawer, in order to be certain that they have removed four socks of the same color?

Grade:11

1 Answers

Ashish Shukla
18 Points
9 years ago

Think of a combination that has all the socks below 4 but the maximum possible .

suppose they draw 3 blue 3 red 3 white and 2 black socks then next sock will be either white blue or red

as there aren''t more than 2 black socks .

so total number of socks = 3 + 3 + 3 + 2 + 1 = 12 .

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