Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits,…

Suppose Anil's mother wants to give $\displaystyle 5$ whole fruits to Anil from a basket of $\displaystyle 7$ red apples, $\displaystyle 5$ white apples and $\displaystyle 8$ oranges. If in the selected $\displaystyle 5$ fruits, at least $\displaystyle 2$ oranges, at least one red apple and at least one white apple must be given, then the number of ways, Anil's mother can offer $\displaystyle 5$ fruits to Anil is $\displaystyle \_\_\_\_$