[問題]GWD-5-Q6

[小紅豆]

Q6:
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?

A. 5
B. 6
C. 7
D. 8
E. 9
Answer: D
員工被配到一個辦公室的機率C(3,3)+C(3,2)+C(3,1)+C(3,0)=8
是這樣算嗎??
這是我自己亂想滴,不知道對不對??
C(3,3)三個人有三個都被派到一個辦公室..

[Jessy]

A certain company assigns employees to offices in such a way that some of the offices can be empty條件一 and more than one employee can be assigned to an office條件二. In how many ways can the company assign 3 employees to 2 different offices?

只要把2^3=8就行了
我的想法: 每一個員工都有兩間選擇
匠有沒有比較簡單~~

[bugubugu]

Please refer to:
http://www.formosamba.com/phpBB3/viewtopic.php?t=1581

[小紅豆]

那偷偷再問Jessy一下,
一個員工有兩個房間可以選擇,空房間的條件一就沒有考慮到了???

[小紅豆]

剛剛問了朋友,我轉過來了
當一個員工選A辦公室時,B辦公室就是空的,符合條件一了

[jenny1021]

我的想法是每間可能0, 1, 2, 3個人，四種情況
共有兩間，所以是2x4=8
這樣想可以嗎？

[kenlo2006]

想請問各位高手,
三人配兩房時, 從題意如何判斷三人是不是[color=blue][b]"全部"[/b][/color]都要配 ?

if all staffs were to be installed, then:
(3,0)(0,3)(1,2)(2,1) <== 4 combinations are possible ?

謝謝大家

[Ace]

想請問各位高手,
三人配兩房時, 從題意如何判斷三人是不是"全部"都要配 ?

if all staffs were to be installed, then:
(3,0)(0,3)(1,2)(2,1) <== 4 combinations are possible ?

謝謝大家

題目有說A certain company assigns employees
就常理而言每個員工都會有自己的辦公室
如果可能會誤解的部份 通常題目都會加以說明

[kenlo2006]

ACE, 感謝回應
那請問是哪八種組合 ?

再謝 ....

[Ace]

ACE, 感謝回應
那請問是哪八種組合 ?

再謝 ....

我當初的做法跟Jessy 一樣
每個人都有兩種選擇
共有三個人所以是2^3

[kenlo2006]

好, 謝謝你的解釋!