Question

1) A bag contains two red marbles, two green ones, one lavender one, three yellows, and...

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

How many possible sets of four marbles are there?

2) A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.]

How many sets of four marbles include none of the red ones?

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

How many sets of four marbles include all the red ones?

4) A bag contains three red marbles, two green ones, one lavender one, six yellows, and six orange marbles. HINT [See Example 7.]

How many sets of four marbles include one of each color other than lavender?

5) A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.]

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

6) A bag contains three red marbles, one green one, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.]

How many sets of five marbles include at most one of the yellow ones?

7) A bag contains three red marbles, four green ones, one lavender one, two yellows, and four orange marbles. HINT [See Example 7.]

How many sets of five marbles include at least one yellow one but no green ones?

8) Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones, and two orange ones.

How many sets of five marbles include at most one of the red ones but no yellow ones?

(please help with as many as possible and/or show example of how to solve these kinds of problems. I've ran out of questions and I need help :( thank you)

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