Solve the problem.
-A bag contains 3 blue, 4 red, and 5 green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include exactly two red marbles?
A) 18
B) 168
C) 6
D) 672

Question

Quizplus · Accepted Answer

To solve this, we use combinations. First, choose 2 red marbles from 4, which is C(4,2) = 6 ways. Then, choose 2 more marbles from the remaining 8 marbles (3 blue + 5 green), which is C(8,2) = 28 ways. Multiply these together: 6 * 28 = 168 different samples.

Solve the Problem. -A Bag Contains 3 Blue, 4 Red, and 5 Green