Download 12.1 Homework Draw a tree-diagram to represent each situation. 1

12.1 Homework
Draw a tree-diagram to represent each situation.
1.) Flip a coin three times.
2.) Choosing a phone that comes in wall or desk model in black, almond, or
transparent that has a redial or hold button.
Answer the following questions using the counting principle and
permutations:
3.) In a club of 20 people, how many different ways can a president, vice
president, secretary and treasurer be chosen ?
4.) Six swimmers are entered in the 50 yd. freestyle. In how many different
orders can the swimmers achieve first, second and third place ?
5.) There are three nursing positions to be filled at Riddle Hospital: day
nursing supervisor, night nursing supervisor and nursing coordinator.
There are 15 candidates qualified for all three positions. Determine
The number of different ways the positions can be filled by the
applicants.
6.) In how many different seating arrangements can 12 jurors be seated ?
7.) How many 7-digit phone numbers can be formed if the first digit cannot
be 0 or 1?
8.) How many 7-digit phone numbers can be formed if the first digit
cannot be 0 or 1 and if no digit can be repeated?
12.1 Homework
9.) How many license plates of 5 symbols can be made using a letter for the
first symbol and digits for the remaining 4 symbols?
10.) For a particular model truck, a truck dealer offers five versions of
that model, 16 body colors, and 8 truck cab colors. How many
different possibilities are available for that model?
11.)
In how many ways can a committee of seven be seated if the
chairman must sit in the middle ?
12.)
How many different batting orders does a baseball team of nine
players have if the pitcher bats last?
13.)
The letters r, s, t, v, and w are to be used to form 5-letter passwords
for an office security system. How many passwords can be formed if
the letters can be used more than once in any password?
14.)
The Sixers are holding a new five man practice squad and 15 players
show up. Three of the players are centers, seven are guards, and
five are forwards. How many different squads can be made ?
(A squad consists of 2 guards, 2 forwards and one center)
15.) How many ways can two geometry, four geography, five history and
3 physics books be arranged on a shelf by subject ?