In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many marbles will he have to take out of his pocket to ensure that he has taken out at least one of each color?

A    3

B    8

C    9

D    11

Solution

Correct Answer: Option C

 

In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. 

If he takes out 3 balls, they can all be red.

If he takes out 4 balls they can all be green or blue.

if he takes out 7 balls they can all be red and blue.

if he takes out 8 balls they can all be green and blue.

but if he takes out 9 balls, he must have balls from each color

 

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