SOLUTION: From a pool of 7 secretaries, 3 are selected to be assigned to 3 managers, 1 secretary to each manager. In how many ways can this be done?

Question 115975: From a pool of 7 secretaries, 3 are selected to be assigned to 3 managers, 1 secretary to each manager. In how many ways can this be done?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are 7 ways to select the first secretary from the pool of 7, and once that is done, there are 6 ways to select the second secretary, and then 5 ways to select the third,

Altogether then there are 7 X 6 X 5 or 210 different ways to select the three secretaries.

Of course, that presumes that selecting secretaries 1, 4, and 7 and assigning them in that order to bosses 1, 2, and 3 is a different result from selecting them in the order 4, 7, and 1, for example.
RELATED QUESTIONS
Out of a pool of 7 secretaries, only 3 can be chosen to work with a manager. How many... (answered by farah)

Some managers are to be selected from a group of 30 to work on a special project. a. In (answered by stanbon)

A Student Community needs to select 4 vice presidents and 2 secretaries among 10 male... (answered by math_tutor2020)

A committee of 7 people is to be chosen from a group of 9 managers and 6 accountants. The (answered by ewatrrr)

In how many ways can you select 4 delegates to attend a seminar from 4 supervisors, 3... (answered by ikleyn)

You wish to select a committee of president, vice president and secretary from a pool of... (answered by jim_thompson5910)

If 2n teams are to be assigned to play in 1, 2, 3, .... n games in the first round of a... (answered by sudhanshu_kmr)

A company intends to form its CSR committee with 4 members, from a pool of 14 managers (5 (answered by Theo)

Q15 In how many ways can we distribute seven apple and six oranges among 4 children so... (answered by lynnlo)