On Valentine's Day You and Your Date Attend a Fancy

Multiple Choice

On Valentine's Day you and your date attend a fancy dinner where the following fixed price menu is being served. For $32 per person, your meal includes a choice of appetizer, salad, entrée, and desert. If there are 4 different appetizers, 6 different salads, 8 different entrées, and 3 different deserts to Choose from, then how many different dinner choices are possible? (Note: Assume that you must Choose exactly one from each category.)

A) 21
B) 576
C) 1064
D) 41824
E) None of the above.