SOLUTION: A box of anthony thomas candy contains 9 dark chocolate creams, 6 milk chocolate creams, and 4 milk chocolates with nuts. How many ways can 5 candies be selected to meet each co

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Question 70555This question is from textbook Algebra 2
:
A box of anthony thomas candy contains 9 dark chocolate creams, 6 milk chocolate creams, and 4 milk chocolates with nuts. How many ways can 5 candies be selected to meet each condition?
2 of one kind, 3 of another. This question is from textbook Algebra 2

Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
A box of anthony thomas candy contains 9 dark chocolate creams, 6 milk chocolate creams, and 4 milk chocolates with nuts. How many ways can 5 candies be selected to meet each condition?
2 of one kind, 3 of another
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2 dark and 3 creams: [9C2][6C3]= 720
2 dark and 3 nuts: [9C2][4C3]= 144
2 creams and 3 dark: [6C2][9C3]=1260
2 creams and 3 nuts: [6C2][4C3]=60
2 nuts and 3 dark: etc.
2 nuts and 3 cream:etc.
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Cheers,
Stan H.