SOLUTION: A bowl contains 50 colored marbles, 13 Green, 10 Red, 9 Blue, 8 Yellow, 6 Black, 4 White. If you are blindfolded, what is the smallest number of marbles you must pick to guarantee

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Question 32790: A bowl contains 50 colored marbles, 13 Green, 10 Red, 9 Blue, 8 Yellow, 6 Black, 4 White. If you are blindfolded, what is the smallest number of marbles you must pick to guarantee that you have at least 7 marbles of the same color?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First I ask the question: "What is the largest number of marbles I must pick
and still have the possibility that I don't have 7 of the same color?"
green 13......6
red...10......6
blue..9.......6
yellow 8......6
black..6......6
whitee.4......4
If I happened to pick these colors in the indicated numbers, I still
wouldn't have 7 of the same color
But if I pick one more, I am guaranteed to have 7 of the same color.
The answer is 35