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Question 252490: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jelly beans she must take out of her pocket to ensure that she has one of each color?
Could you please show me the set up and solution. Thank You
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Here's the worst case scenario:
First, she pulls out all 8 red jellybeans. So she has taken out all of the red jellybeans. Then she either pulls out 4 consecutive green or blue jellybeans (either one or the other but not both colors). So far, she's pulled out 8+4=12 jellybeans total. To ensure that she has taken at least one of each color, she'll need to pull out at least one more (either blue or green) since there is only one color left.
So in total, she'll have to pull out minimum of 8+4+1=13 jellybeans to ensure that she has at least one of each color.
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