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Employee Assignment

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by getso » Sat Apr 24, 2010 8:55 am
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
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by thephoenix » Sat Apr 24, 2010 9:00 am
its 2*2*2 =8
each has two choices
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by frank1 » Sat Apr 24, 2010 9:17 am
each employee has 8 choices i guess...
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by thephoenix » Sat Apr 24, 2010 9:20 am
frank1 wrote:each employee has 8 choices i guess...
there are three employees say A,B,and C and 2 offices say X , and Y
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
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by frank1 » Sat Apr 24, 2010 8:19 pm
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)
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by this_time_i_will » Sat Apr 24, 2010 11:03 pm
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)
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.

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)
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