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APMOPS 2004 Question 6

APMOPS · APMOPS 2004

Question 6

A bag contains identical sized balls of different colours: 10 red, 9 white, 7 yellow, 2 blue and 1 black. Without looking into the bag, Peter takes out the balls one by one. What is the least number of balls Peter must take out to ensure that at least 3 balls have the same colour?