Math Olympiad Contest Problems for Elementary and Middle Schools: #36 [HD]

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A bag contains 750 beads, each of the same size, but in 5 different colors. Suppose there are 150 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 10 beads of the same color among the beads I have picked blindfolded?

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