Question 1136163: A bag contains 7 apples and 5 oranges. if you select 6 pieces of fruit without looking. how many ways can you get exactly 5 apples? Answer by VFBundy(438) (Show Source):
You can put this solution on YOUR website! When you choose exactly five apples, that also means you have to choose exactly one orange.
Ways to choose exactly five apples = 7C5 = 7!/(5!*2!) = 21
Ways to choose exactly one orange = 5C1 = 5!/(1!*4!) = 5
7C5 * 5C1 = 21 * 5 = 105