106年 - 106 國立嘉義大學_碩士班招生考試試題_資訊工程學系：離散數學#146387

(a)

(b)

(c)

(d)

2. A cookie shop has five different kinds of cookies. How manydifferent ways can seven cookies be chosen? Assume that only thetype of cookie, and not the individual cookies or the order in whichthey are chosen, matters. (15 %)

3. What is the probability that a positive integer selected at randomfrom the set of positive integers not exceeding 1000 is divisible byeither 5 or 9? (15 %)

(a) 14, 6, -2, -10, -18, -26, -34, -42, ...

(b) 0, -1, 5, -23, 119, -719, 5039, -40319, ...

(a) If you don’t do your homework, you will be punished.

(b) If you are punished, you didn’t do your homework.

(c) If you are not punished, you did your homework.

(d) If you don’t do your homework, you may or may not bepunished.

(e) If you are not punished, it’s possible you didn’t do yourhomework.