SOLUTION: A container holds a mixture of 37 peanuts, 14 cashews, and 25 pecans. How many nuts must you take out to be sure of getting at least two of a kind? At least three of a kind?

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Question 900364: A container holds a mixture of 37 peanuts, 14 cashews, and 25 pecans. How many nuts must you take out to be sure of getting at least two of a kind? At least three of a kind?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say you draw a peanut then a cashew and a pecan after 3 draws.
The next will be one of them so you must have two of a kind after 4 draws .
To be sure of 3 of a kind you need to draw 3*2+1=7