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A restaurant serves \(6\) varieties of appetizers, \(10\) different entrees, and \(4\) different desserts. In how many ways can one make a meal if one chooses an appetizer, at least one and at most two different entrees and one dessert?
A) \((6\cdot 10\cdot4)+\left(6\cdot\dfrac{10\cdot9}2\cdot4\right)\)
B) \(6\cdot10\cdot4\)
C) \(6\cdot10\cdot2\cdot4\)
D) \(6\cdot9\cdot4\)
E) \(\dfrac{6\cdot10\cdot4}2\)
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
A) \((6\cdot 10\cdot4)+\left(6\cdot\dfrac{10\cdot9}2\cdot4\right)\)
B) \(6\cdot10\cdot4\)
C) \(6\cdot10\cdot2\cdot4\)
D) \(6\cdot9\cdot4\)
E) \(\dfrac{6\cdot10\cdot4}2\)
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
