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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

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Answer:

2970

Step-by-step 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

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