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Probability

by MBA.Aspirant » Sat Jul 02, 2011 10:09 pm
There are three secretaries who work for four departments. If each of the four departments has one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability that all three secretaries are assigned at least one report?

A. 2/3
B. 1/3
C. 8/9
D. 4/9
E. 2/9
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by Frankenstein » Sat Jul 02, 2011 10:29 pm
Hi,
Similar problem has been discussed. Go through expert posts in
https://www.beatthegmat.com/possibility- ... 85786.html
Cheers!

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by amit2k9 » Mon Jul 04, 2011 2:46 am
tasks will be divided in 4*3*2*3 ways (last task can be assigned in 3 ways)

total ways = 3*3*3*3 (3 people for each task)

thus 8/9
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by Frankenstein » Mon Jul 04, 2011 11:08 pm
amit2k9 wrote:tasks will be divided in 4*3*2*3 ways (last task can be assigned in 3 ways)

total ways = 3*3*3*3 (3 people for each task)

thus 8/9
Hi,
I think you need to check this again.
Cheers!

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