Question
A bag contains three red marbles, three green ones, one lavender one, five 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?
How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Answers
Reiny
number with 1 Lavender = 1 x C(13,4) = 715
number with 1 yellow = C(5,1) x C(9,4) = 630
exclude yellow and lavender = C(8,5) = 56
number as described = 715+630-56 = 1289
number with 1 yellow = C(5,1) x C(9,4) = 630
exclude yellow and lavender = C(8,5) = 56
number as described = 715+630-56 = 1289