SOLUTION: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many ways can you get exactly 3 apples? A) 60 ways B) 180 ways C) 20 ways D) 30 ways

Algebra ->  Probability-and-statistics -> SOLUTION: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many ways can you get exactly 3 apples? A) 60 ways B) 180 ways C) 20 ways D) 30 ways       Log On


   

Question 144614: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many ways can you get exactly 3 apples?
A) 60 ways B) 180 ways
C) 20 ways D) 30 ways
can you please explain!
Answer by shahid(44) About Me  (Show Source):
You can put this solution on YOUR website!
we can get exactly three apples in 5C3 ways but since we have to select four pieces so one orange can be selected in 3C1ways now by product rule
total ways to select four pieces = 5C3*3C1
=5%21%2F3%21%285-3%29%21*3%21%2F1%21%283-1%29%21
= 120%2F6%282%29%21*6%2F2%21
=12*3
=36