This preview shows pages 1–2. Sign up to view the full content.
Econ 506, Section M1
NAME:_
SOLUTION_
_____
Quiz 1A, Sept., 16, 2010
Total points: 50
I.
The names of 3 employees are to be randomly drawn from a bowl containing the
names of 30 employees of a small company for a delegation.
a)
(5 points)
in how many ways can three employees be chosen?
4060
3
30
=
=
r
n
b) (5 points)
In how many ways can the delegation be chosen if two people refuse to go
together?
We compute 4060 #(Both are chosen to go together). There is only one way to
choose both of them in a combination sense. This leaves us with 28 different ways to
pick the remainder member of the committee. Thus, we arrive at our answer of 4060
28 = 4032.
c) (5 points)
suppose the person whose name is drawn first wins a prize of $100, and the
individuals whose names are drawn second and third win $50 and $25 respectively for
taking part in the delegation. In how many ways can the 3 individuals win the prizes?
Since the language is not clear we accept both 30. 29. 28 = 24,360 and 3! = 6 as
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '08
 Staff

Click to edit the document details