A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7. How many sets of four marbles include all the red ones?

Number of possible sets = 4

Step-by-step explanation:

In the question,

Number of Red marbles in the bag = 3

Number of Green marbles in the bag = 2

Number of Lavender marbles in the bag = 1

Number of Yellow marbles in the bag = 4

Number of Orange marbles in the bag = 5

So,

If we need to form a set having all the red marbles then,

We have 3 Red marbles and only the set of 4 is needed to be made.

For that,

We have 4 different options,

1 Green + 3 Red

1 Lavender + 3 Red

1 Yellow + 3 Red

and,

1 Orange + 3 Red.

Therefore, there are only 4 such cases which include all the Red marbles in them.