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
D
Employee Assignment
This topic has expert replies
- thephoenix
- Legendary Member
- Posts: 1560
- Joined: Tue Nov 17, 2009 2:38 am
- Thanked: 137 times
- Followed by:5 members
- thephoenix
- Legendary Member
- Posts: 1560
- Joined: Tue Nov 17, 2009 2:38 am
- Thanked: 137 times
- Followed by:5 members
there are three employees say A,B,and C and 2 offices say X , and Yfrank1 wrote:each employee has 8 choices i guess...
now A can chose any from x and y in 2c1=2 ways
similarly B in 2 ways and C in 2 ways
so total # of ways=2*2*2=8
-
- Legendary Member
- Posts: 537
- Joined: Fri Jan 22, 2010 10:06 pm
- Thanked: 14 times
- Followed by:1 members
it will come down to basics
i mean
1 ----------- 2
ABC ----------- 0
0 ----------- ABC
AB ----------- C
C ----------- AB
BC ----------- A
A ----------- BC
CA ----------- B
B ----------- CA
take A,
he infact can make 8 choices.
Am i missing some basics here? (may be wrong choice of word)
i mean
1 ----------- 2
ABC ----------- 0
0 ----------- ABC
AB ----------- C
C ----------- AB
BC ----------- A
A ----------- BC
CA ----------- B
B ----------- CA
take A,
he infact can make 8 choices.
Am i missing some basics here? (may be wrong choice of word)
-
- Master | Next Rank: 500 Posts
- Posts: 268
- Joined: Wed Mar 17, 2010 2:32 am
- Thanked: 17 times
Every employee has to go to one of the office. so if A choses not to go to office x then that means he has chosen to go to office y.frank1 wrote:it will come down to basics
i mean
1 ----------- 2
ABC ----------- 0
0 ----------- ABC
AB ----------- C
C ----------- AB
BC ----------- A
A ----------- BC
CA ----------- B
B ----------- CA
take A,
he infact can make 8 choices.
Am i missing some basics here? (may be wrong choice of word)
So consider following choices for A:
1. go to x (means do not go to y) = do not got y (means go to x).
2. go to y(means do not go to x) = do not go to x (means go to y).
3. do not got to x and Y (THIS CONDITION IS NOT POSSIBLE)
My Blog:
https://www.iwantutopia.blocked/
https://www.iwantutopia.blocked/