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APMOPS 2015 Question 4

APMOPS · APMOPS 2015

Question 4

There are 10 red, yellow and green balls in a container. The balls are identical in size. The red balls are marked with the number “4” while the yellow and green balls are marked with “5” and “6” respectively. If 8 balls are drawn and the sum of numbers on the balls is 39, how many of these are red balls?

Editorial clarification: the given information allows several answers. Give all possible red-ball counts.