14) A French restaurant offers a menu consisting of 4 different appetizers, 5 di
ID: 3282973 • Letter: 1
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14) A French restaurant offers a menu consisting of 4 different appetizers, 5 different salads, 3 14) different soups, 7 different main courses, and 8 different desserts. The restaurant offers different combinations of "fixed price dinners" on different days of the week. On Monday through Thursday, the "fixed price dinner" consists of a choice of appetizer, a soup, a main course, and a dessert. Assuming you don't pass on any of these, how many different "fixed price dinners" are possible on these days? A) 22 B) 68 C) 672 D) 392 E) none of these 15) A French restaurant offers a menu consisting of 4 different appetizers, 5 different salads, 3 15) different soups, 7 different main courses, and 8 different desserts. The restaurant offers different combinations of "fixed price dinners" on different days of the week. On Fridays and Saturdays, the "fixed price dinner" consists of a choice of appetizer, a choice of either soup or salad, a main course, and a dessert. Assuming you don't pass on any of these, how many different "fixed price dinners" are possible on Fridays and Saturdays? A) 1792 B) 672 C) 3360 D) 180 E) none of these 16) Five Republicans and five Democrats orally cast their vote in the U.S. Senate. In how 16) many orders can they vote if the first person to vote must be a Republican? You do not have to simplify your answer (just show the computation).Explanation / Answer
14. From monday through thursday, the restuarant offers appetizer, soup, main course and dessert. Given there are 4 appetizers, 3 soups, 7 main courses and 8 desserts. so, the possible ways of fixed price dinners = 4*3*7*8 = 672.
15. On friday and saturday, the restuarant offers appetizer, (soup or salad), main course and dessert. Given there are 4 appetizers,5 salads, 3 soups, 7 main courses and 8 desserts. so, the possible ways of fixed price dinners =appetizers*(salads+soups)*main course*desserts = 4*(5+3)*7*8 = 4*8*7*8 = 1792.
16. Given there are fice republicans and 5 democrats. If the first person to vote is a republican, then we have to arrange 4 republicans and 5 democrats in next 9 positions. the number of ways of doing this = 9!/(5!*4!) = 126.
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