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Cory has $3$ apples, $2$ oranges and $2$ bananas. If Cory eats one piece of his fruit per day for a week and the pieces of fruit within each category are indistinguishable, in how many orders can Cory eat the fruit? One such order is $AAAOOBB.$

 Jun 29, 2021
 #1
avatar+114012 
+2

7!/(3!*2!*2!)

 Jun 29, 2021

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