Q6
6. 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?
posted by Ramkumar @ 9:13 PM
4 Comments:
At 7:24 AM ,
kart said...
This comment has been removed by a blog administrator.
At 8:59 AM ,
kart said...
Guess...1/5
It would help if there are options...
At 1:22 AM ,
Ramkumar said...
Total no of ways: 3^4
1st sec can get a report in 4c1 ways = 4
2nd sec .........................3c1 way = 3
3rd sec...........................2c1 way = 2
last can be distributed to any of the three = 3
So probability is = 4*3*2*3/ 3^4 = 8/9
This is the answer given.
Please explain me the answer.
At 2:19 AM ,
kart said...
I am not convinced by the explanation da... This how I arrived at,
0 0 4 - 1
0 1 3 - 2
1 0 3
0 2 2 - 3
1 1 2
2 0 2
X X 1 - 4
X X 0 - 5
Total combinations - 15 ( Actually.. 15*4)
112
121
211
Favourable event - 3 (Actually.. 3 *4)
So, prob 3/15 = 1/5
Anyway, where did u find the question?
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