Secretarymanager assignmentsFrom a pool of 7 secretaries 3 a

Secretary/manager assignments—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?

Solution

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:

7 ways to select the first secretary from the pool of 7

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 = 210 different ways to select the three secretaries