Question 633751: MicroCorp will hold its annual company picnic next week and will assign 3 planning duties to its employees.One person selected will reserve a venue,another will arrange catering,and a third will plan activities.There are 10 employees eligible to fulfill these duties,and no employees can be assigned more than one duty.How many different ways are there for duties to be assigned to employees?
Answer by jsmallt9(3758)   (Show Source):
You can put this solution on YOUR website! First of all, please make an attempt to post your problems under a relevant category. The reasons for this are:- Many tutors look for problems in their favorite categories. Posting a problem in a completely irrelevant category might mean your problem will never be seen by tutors who are in the best position to help you.
- When you post in a completely irrelevant category it probably means that either you didn't care to pick the right category or that you were so clueless that have any idea of a category that would be appropriate. Either way, careless or clueless, it it discourages tutors from thinking that they might be able to provide any real help.
As you might have guessed by now, this problem has noting to do with Trigonometry. I have changed the category to a more appropriate one.
When the first employee is chosen there are 10 possible choices since no one has a duty yet. When the second employee is chosen, there are only 9 possible choices because the person already chosen cannot be assigned to a second duty. And when the third person is chosen, there are only 8 possible choices because the two that have already been chosen cannot be assigned another duty. So all together there are
10*9*8 = 720
ways to choose the employees for the three duties.
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