SOLUTION: I need help with these problems can someone help me. Problem #1 A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one sa

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Question 87091: I need help with these problems can someone help me.
Problem #1
A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one salad, one main dish, and one dessert are possible?
Problem #2
Some students find it puzzling that 0!=1, and think that 0! should equal 0. If this were true, what would be the value of P(4 , 4) using the permutations formula?
Problem #3
An auto mobile manufacturer produces 7 models , each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobile are available?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I need help with these problems can someone help me.
Problem #1
A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one salad, one main dish, and one dessert are possible?
Answer: 3*8*5 = 120 meals possible
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Problem #2
Some students find it puzzling that 0!=1, and think that 0! should equal 0. If this were true, what would be the value of P(4 , 4) using the permutations formula?
P(4,4) = 4!/[(4-4)!*4!] = 4!/[0}*4!] which is "undefined because we would
have 0 in the denominator.
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Problem #3
An auto mobile manufacturer produces 7 models , each available in 6 different exterior-4) colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobile are available?
Answer: 7*6*4 = 16 varieties
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Cheers,
Stan H.

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