A bag contains 3 red marbles, 2 green ones, 1 lavender one, 3 yellows, and 3...

A bag contains 3 red marbles, 2 green ones, 1 lavender one, 3 yellows, and 3 orange marbles. HINT [See Example 7.]

How many sets of five marbles include at least two red ones?
sets

Expert Solution

Total = 3 + 2 + 1 + 3 + 3 = 12 marbles

Red can be 2 or 3 because total 3 red we have.

Total ways = C(3,2)*C(9,3) + C(3,3)*C(9,2) = 3*84 + 1*36 = 252 + 36 = 288

Hence, total 288 different sets of five marbles include at least two red ones.

orchestra answered 2 years ago

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