5a. A bag contains two red marbles, six green ones, one lavender one, two yellows, and four orange marbles.  How many sets of three marbles include all the yellow ones?   5b. A bag contains two red marbles, five green ones, one lavender one, five yellows, and six orange marbles.  How many sets of five marbles include one of each color?   5c. A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange marbles.  How many sets of five marbles includ

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5a. A bag contains two red marbles, six green ones, one lavender one, two yellows, and four orange marbles. 
How many sets of three marbles include all the yellow ones?
 
5b. A bag contains two red marbles, five green ones, one lavender one, five yellows, and six orange marbles. 
How many sets of five marbles include one of each color?
 
5c. A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange marbles. 
How many sets of five marbles include at least two red ones?
 
5d. A bag contains three red marbles, four green ones, one lavender one, three yellows, and two orange marbles. 
How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
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