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, at least \( 2 \) 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 \( 5 \) fruits to Anil is ____.
