Math New Drill (level 1) : Number of cases Problem 2(5) TOYOEIWA-2008

How many ways of method of putting two oranges and two apples on three plates of white, green and blue are there? 

Noted that there shall be no empty plate.










Answer
12 ways

Solution
O=Orange, A=Apple

Pattern ① (OO, A, A) = 3 ways

Pattern② (AA, O, O) = 3 ways

PAttern③ (OA, O, A) = 3 × 2 × 1 = 6 ways

In total, 3 + 3 + 6 = 12 ways