Given that the bag contains 5 apples and 3 oranges, if you select 4 pieces of fruit without looking, the number of ways you can get 3 apples is given by: we can select 3 apples in 5C3 ways but we are selecting 4 pices, this means that one orange can be selected in 3c1 ways. Using product rule, the total ways to select four pices is 5C3*3C1 =5!/[3!*(5-1)!]×3!/[1!(3-1)!] =120/(6×2!)*6/(2!) =12×3 =36
