april24 wrote:Szechuan House offers chicken, shrimp, beef, vegetable, and tofu entrees served in either garlic sauce or green chili sauce.
In how many ways can three entrees be served if no entree is served more than a total of once?
A.10
B.60
C.80
D.100
E.120
From the 5 entrees, the number of ways to choose 3 = 5C3 = (5*4*3)/(3*2*1) = 10.
Number of sauce options for the 1st entree = 2. (Garlic or green)
Number of sauce options for the 2nd entree = 2. (Garlic or green)
Number of sauce options for the 3rd entree = 2. (Garlic or green)
To combine the options above, we multiply:
10*2*2*2 = 80.
The correct answer is
C.
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