There are 3 secretaries who work for three departments. if each of the three departments have 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 atleast one report?
I dont have the answer options.
But here is my approach. I used the listing technique.
Each secretary can handle a max of all 3 reports and minimum of 0 reports. So the combinations are
0 0 3
0 3 0
3 0 0
2 1 0
2 0 1
1 1 1
1 2 0
1 0 2
0 2 1
0 1 2
That answer should be 1/10 but it seems the answer is [spoiler]2/9[/spoiler]. What am I missing?
I dont have the answer options.
But here is my approach. I used the listing technique.
Each secretary can handle a max of all 3 reports and minimum of 0 reports. So the combinations are
0 0 3
0 3 0
3 0 0
2 1 0
2 0 1
1 1 1
1 2 0
1 0 2
0 2 1
0 1 2
That answer should be 1/10 but it seems the answer is [spoiler]2/9[/spoiler]. What am I missing?
A good question also deserves a Thanks.
Messenger Boy: The Thesselonian you're fighting... he's the biggest man i've ever seen. I wouldn't want to fight him.
Achilles: That's why no-one will remember your name.
Messenger Boy: The Thesselonian you're fighting... he's the biggest man i've ever seen. I wouldn't want to fight him.
Achilles: That's why no-one will remember your name.
