P2-PS-160

[Huang Hsin-Yi]

160. 16619-!-item-!-187;#058&011092
An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8


Ans:D

[Weichieh]

六種排法，旅行汽車：
六缸→manual transmission→ with trailer hitch
六缸→manual transmission→ without trailer hitch
六缸→automatic transmission→ with trailer hitch
六缸→automatic transmission→ without trailer hitch
四缸→manual transmission
四缸→automatic transmission

（可以樹狀圖：就先畫六和四，然後六在拉兩條線畫MT和AT，然後再分別拉兩條線，畫有TH和沒有TH）
--
或者我不知道可不可以用這樣：
六缸有三種選擇（手排、自排、拖引器）
四缸有兩選擇（手排、自排）
共： 3*2=6 種組合

*中文我亂猜的，對車不熟

[Huang Hsin-Yi]

非常感謝

[william0625]

題目問How many combinations of the five options listed does the manufacturer offer for its station wagon?
"the five options listed"
5 options 是說  first option 4 cylinder, second option 6 cylinder, third option manual transmission, fourth option auto transmission, fifth option, trailer hitch

2 (4與6-cyline) * 2 (MANUL OR automatic) + 1(6-cyline with hitch) * 2 (manul or automatic)
=6

六缸→manual transmission→ without trailer hitch
六缸→automatic transmission→ without trailer hitch
四缸→manual transmission
四缸→automatic transmission
四種
加上
六缸→manual transmission→ with trailer hitch
六缸→automatic transmission→ with trailer hitch
兩種

共六種