Econ 506, Section M
NAME:_
SOLUTION_
_____
Quiz 1A, Sept., 16, 2010
Total points: 50
I.
A delegation of three is to be chosen from the untenured faculty of the UIUC
Economics Department (numbering ten) to represent the department in an Institutewide
committee.
a)
(5 points)
In how many ways can the delegation be chosen?
120
3
10
=
=
r
n
b) (5 points)
in how many ways can the delegation be chosen if two people refuse to go
together?
We compute 120 #(Both are chosen to go together). There is only one way to choose
both of them in a combination sense. This leaves us with 8 different ways to pick the
remainder member of the committee. Thus, we arrive at our answer of 120 8 = 112.
c) (5 points)
if the three faculty members are selected to positions such as the President,
VicePresident, and Secretary of the delegation, in how many ways can the delegation be
chosen?
10 . 9. 8 = 720
II.
(10 points)
suppose 50% of population is male and 50% is female. Suppose that five
percent of men and 0.25 percent of women are color blind. A colorblind person is chosen
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 Fall '08
 Staff
 Economics, Standard Deviation, UIUC Economics Department

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