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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?

User Schwesi
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1 Answer

3 votes

Answer:

There are 12 sets of four marbles include all the red ones.

Explanation:

Given : A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles.

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

Solution :

Number of red marbles = 3

Number of green marbles = 2

Number of lavender marbles = 1

Number of yellow marbles = 4

Number of orange marbles = 5

We have to form sets of four marbles include all the red ones,

For position of getting red ones we have three red marbles i.e.
^3C_3

For the fourth one we have 12 choices i.e.
^(12)C_1

Total sets of four marbles include all the red ones is


=^3C_3* ^(12)C_1


=1* 12


=12

Therefore, There are 12 sets of four marbles include all the red ones.

User Liniel
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