A bag contains 3 red marbles, 6 blue marbles, 2 yellow marbles, and 1 lavender marble. How many possible sets of three marbles are ther

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Quizplus · Accepted Answer

The total number of marbles is 3 + 6 + 2 + 1 = 12. The number of ways to choose 3 marbles out of 12, without regard to order, is calculated using the combination formula C(n, k) = n! / [k!(n - k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial. Thus, C(12, 3) = 12! / [3!(12 - 3)!] = 12! / (3!9!) = (12 × 11 × 10) / (3 × 2 × 1) = 220.

A Bag Contains 3 Red Marbles, 6 Blue Marbles, 2