1a.

2a.

3a.

The common ratio is -2.

4a.

5a.

6a.

7a.

8a.

9a. ;
fifth term

10a. Next semester you are going to take one
business
class, one math class, one political science class one english class
and one fine arts class. According to the schedule you have 3
different business classes, 5 different math classes, 1 political
science class, 4 different English classes, and 2 Fine Arts classes to
choose from. Assuming no scheduling conflicts, how many different
five-course selections can you make?

10b. In how many ways can 8 employees be assigned
to 8
different jobs?

10c. A computer password can use any letter of
the
alphabet, and a sequence of 5 different letters must be selected for
the password. How many computer passwords are possible?

10d. A boss has 8 employees and 5 are
chosen to
give a
presentation. How many different ways can the boss choose the
presenters if the order of the presenters is important?

10e. A boss has 8 employees and 5 are chosen to
give a
presentation. How many different ways can the boss choose the
presenters if the order of the presenters is not important?

10f. 15 students of whom 9 are seniors, 4 are
juniors,
and 2 are sophomores, are selected as semi-finalists for a literary
award. Of the 15 students, 5 finalists will be selected.

1) In how many ways can 5 finalists be
selected
from the 15 students?

2) In how many ways can the 5 finalists
contain
only seniors?

3) In how many ways can the 5 finalist
contain
exactly 1 sophomore and 4 juniors?

**If each student picked only one favorite, find the
following
probabilities.**

11a. A student's favorite soda pop is Diet Coke.

11b. A student’s favorite soda pop is Sprite.

12a. Only seniors are selected.

12b. Exactly 2 seniors and 2 juniors are selected.

**Find the probability that**

13a. a programmer OR an assistant will be picked.

**Mutually exclusive:**

13b. a senior level employee OR an executive will
be
picked.

**Not mutually exclusive:**

13c. a junior level employee will not be picked.

14a. If 1 card is drawn from a deck of
cards and
1 die
is rolled find the probability that the card drawn is a diamond AND the
number rolled on the die is even.

**Sets are independent of each other:**

Last revised on May 21, 2011 by Kim Seward.

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