Minimum needed to ensure at least 1 red, 1 green, 1 blue

sunnybrook

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Nov 7, 2008
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I need the formula to solve the following problem.

Grace has 16 jellybean in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

Thank you!
 
Think about it. Suppose, under ideal conditions, she picked out 8 red and 4 green. Then, how many would she have to choose to get all 3 colors?.
 
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