Final answer:
To find the number of ways to choose 2 green, 1 yellow, and 4 white marbles, we use combinations. The total number of ways is 5,250.
Step-by-step explanation:
To find the number of ways to choose 2 green, 1 yellow, and 4 white marbles, we can use combinations.
The number of ways to choose 2 green marbles from 6 is given by C(6, 2) = 15.
The number of ways to choose 1 yellow marble from 5 is given by C(5, 1) = 5.
The number of ways to choose 4 white marbles from 8 is given by C(8, 4) = 70.
To find the total number of ways, we multiply the number of ways for each color together: 15 * 5 * 70 = 5,250.