Question

A bag contains three red marbles, three green ones, one lavender one, three yellows, and four orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors

Answer 1

2970

Explanation:

Given

Number of red marbles = 3

Number of green marbles = 3

Number of lavender marbles = 1

Number of yellow marbles = 3

Number of orange marbles = 4

So the number of possible outcomes

1C1 * (3+4+5)C4 + 5C1 * (3+4+5)C4

12C4 ( 1+ 5C1)

12!/(4!*8!) * 6

2970