A bag contains 2 red marbles 5 green ones 1 lavender one 3 y

A bag contains 2 red marbles, 5 green ones, 1 lavender one, 3 yellows, and 5 orange marbles. How many sets of four marbles include one of each color other than lavender?

Solution

Given that bag contains 2red marbles,5green,1 lavender,3 yellow,and 5 orange marbles.

Set of four marbles such that one of each colour should be included is 2C₁x5C₁x3C₁x5C₁, means out of 2 red marbles 1 should be included and out of 5 green marble one should be included,out of 3 yelllow marbles 1 should be included and out of 5 orange marbles 1 should be included.

Given that set of four marbles other than lavender,so we should not include lavender marbles.

             ANSWER is 2C₁x5C₁x3C₁x5C₁=2x5x3x5=150.