SOLUTION: Some managers are to be selected from a group of 30 to work on a special project. a. In how many ways can 3 managers be selected? b. In how many ways can a nonempty group of at

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Some managers are to be selected from a group of 30 to work on a special project. a. In how many ways can 3 managers be selected? b. In how many ways can a nonempty group of at      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 75898: Some managers are to be selected from a group of 30 to work on a special project.
a. In how many ways can 3 managers be selected?
b. In how many ways can a nonempty group of at most 3 managers be selected from the 30 managers?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Some managers are to be selected from a group of 30 to work on a special project.
a. In how many ways can 3 managers be selected?
30C2 = [30*29*28]/[1*2*3] = 4060
-----------------
b. In how many ways can a nonempty group of at most 3 managers be selected from the 30 managers?
30C1 + 30C2 + 30C3
30 + 435 + 4060 = 4525
-------------
Cheers,
Stan H.
-------------------