Cory has 3 apples, 2 oranges, 2 bananas, and 4 strawberries. If Cory eats one piece of his fruit per day and the pieces of fruit within each category are indistinguishable, in how many orders can Cory eat the fruit?

doing it

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3+2+2+4=11

If he eats one per day it will take 11 days to finish.

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One way to do it is as follows

11!/(3!*2!*2!*4!)

Which would be

69300

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