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7.4.
1. How many ways can 2 people be seated in a row of 5 chairs, 3 people, 4 people, 5 people?
Ans: a) 2 people: P
5,2
=20
b) 3 people: P
5,3
=60;
c) 4 people: P
5,4
=120; d) 5 people: P
5,5
=120
2. A computer store receives a shipment of 24 laser printers, including 5 that are defective. Three of these
printers are selected to be displayed in the store.
a) How many selections can be made?
Ans: C
24,3
=2024
b) How many of these selections will contain no defective printers?
Ans: C
19,3
=969
3. A jewelry store chain with 8 stores in Georgia, 12 in Florida, and 10 in Alabama is planning to close 10 of
these stores.
a) How many ways can this be done?
Ans: C
30,10
= 30,045,015
b) The company decides to close 2 stores in Georgia, 5 in Florida, and 3 in Alabama. In how many ways can
this be done?
Ans: C
8,2
*C
12,5
*C
10,3
=2,661,120
4. Suppose that 6 female and 5 male applicants have been successfully screened for 5 positions. In how many
ways can the following compositions be selected?
A) 3 females and 2 males?
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 Spring '11
 Lahai
 Business

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