Question 633751
First of all, please make an attempt to post your problems under a relevant category. The reasons for this are:<ul><li>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.</li><li>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.</li></ul>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.<br>
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.