A bag contains 3 red marbles 4 green ones 1 lavender one 6 y

A bag contains 3 red marbles, 4 green ones, 1 lavender one, 6 yellows, and 5 orange marbles.

How many sets of four marbles include one of each color other than lavender?

There are 4 other colors than lavender, and including one of each makes a set with 1 red, 1 green, 1 yellow and 1 orange. => number of such sets are: (3C1)*((4C1)*(6C1)*(5C1) = 3*4*6*5=360