# Permutations and Combinations Questions and Answers

Math

Permutations and CombinationsYou are thinking of purchasing a can of broth. At the grocery store, you observed that broth comes in 6 brands, 5 flavors, and in regular or reduced sodium varieties. How many different ways can you select a can of broth?

Math

Permutations and CombinationsDetermine whether each situation is a permutation or combination. Explain your reasoning.
(a) 6 people passing through a turnstile
The situation is a permutation since order matters.
The situation is a combination since order matters.
The situation is a permutation since order does not matter.
The situation is a combination since order does not matter.
(b) Drawing 7 cards from a standard 52-card deck
The situation is a permutation since order matters.
The situation is a combination since order matters.
The situation is a permutation since order does not matter.
The situation is a combination since order does not matter.

Math

Permutations and CombinationsIn a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 12 boys and 6 girls are competing, how many different ways could the six medals possibly be given out?

Math

Permutations and CombinationsA company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many different teams can be formed?

Math

Permutations and CombinationsThe BAHS gaming club is trying to assemble a team of 7 players to play APEX legends competitively. The club currently consists of 9 seniors and 4 juniors. How many ways could the 7 player team be constructed so that:
a. There are exactly 3 juniors?

Math

Permutations and CombinationsDefective electronics: A team of designers was given the task of reducing the defect rate in the manufacture of a certain printed circuit board. The team decided 987 boards were produced the week before the reconfiguration was implemented, and 254 of these were defective. A total of 847 boards were produced the week after reconfiguration, and 161 of these were defective.
(a) Construct a 99.5% confidence interval for the decrease in the defective rate after the reconfiguration. Use tables to find the critical value and round the answer to at least three decimal places.
A 99.5% confidence interval for the decrease in the defective rate after the reconfiguration is

Math

Permutations and CombinationsA certain lottery has 26 numbers. In how many different ways can 5 of the numbers be selected? (Assume that order of selection is not important.)
There are different ways the numbers can be selected.
(Simplify your answer.)

Math

Permutations and CombinationsUntil 1995, the rules for three-digit area codes in the United States were as follows:
• The first digit could not be 0 or 1.
• The second digit had to be 0 or 1.
• The third digit had no such restrictions.
In 1995, the restriction on the second digit of area codes was removed. How many area codes are possible after the restriction is removed?
area codes
(Type a whole number.)

Math

Permutations and CombinationsIn how many ways can a girl choose a two-piece outfit from 5 blouses and 7 skirts?
12
70
35
14

Math

Permutations and CombinationsFrom the 7 male and 10 female sales representatives for an insurance company, a team of 2 men and 4 women will be selected to
attend a national conference on insurance fraud.
In how many ways can the team of 6 be selected?
In how many ways can the team of 6 representatives be selected?

Math

Permutations and CombinationsTina must select and answer in any order three of six essay questions on a test. In how many ways can she do so?
Tina can select and answer the essay questions on her test in ways.
(Simplify your answer. Type an integer or a fraction.)

Math

Permutations and CombinationsAt a music festival, there are six bands scheduled to play, numbered 1 through 6.
a. How many different ways can these bands be arranged to perform?
b. If band 4 is performing first and band 2 last, then how many ways can their appearances be scheduled?
a. There are different ways to arrange the bands.
(Simplify your answer.)
b. If band 4 is performing first and band 2 last, there are different ways to arrange the bands.
(Simplify your answer.)

Math

Permutations and CombinationsIn how many ways could members of the following club line up all 9 members for a photograph?
N = {James, Sandy, Jane, Alan, Tammy, Cathy, David, Sandy, Ashley}
way(s)

Math

Permutations and CombinationsJenny White is shopping for CDs. She decides to purchase 4 movie soundtracks. The music store has 9 different movie soundtracks in stock. How many different selections of movie soundtracks are possible?
There are different possible selections of movie soundtracks at the music store.

Math

Permutations and CombinationsA panel containing four on-off switches in a row is to be set. Assuming no restrictions on individual switches, use the fundamental counting principle to find the total number of possible panel settings.
The total number of possible panel settings is
(Type a whole number.)

Math

Permutations and CombinationsIf two states are selected at random from a group of 20 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.
If the states are selected with replacement, there are
possible outcomes.
If the states are selected without replacement, there are possible outcomes.

Math

Permutations and CombinationsClever Computers has a five-day workweek and pays the office staff $3,050 each week. If the month ends on a Thursday, the adjusting entry will credit Wages Payable for
a. $3,050.
b. $610.
c. $2,440.
d. $1,220.

Math

Permutations and CombinationsNew car owners were asked to evaluate their experiences in buying a new car during the past 12 months. In the
survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no
particular order): Subaru, Honda, and Buick. When ranking the dealers, how many outcomes are possible?
Multiple Choice
O
O
6
9
8
10
12

Math

Permutations and CombinationsSuppose 13 people qualify for a college cheerleading squad, five women and eight men. How many six member squads can be selected if exactly two of the members are male?
Select one:
a. 715
b. 140
c. 1417
d. 33

Math

Permutations and CombinationsIf the number of permutations of 4 letters that can be made out of the letters of the word "EXPRESSION" is equal to A, then (A - 2181) is equal to
Answer:
Select your answer from radio buttons.

Math

Permutations and CombinationsThe phone numbers on the Kennesaw State University campus have the form SSS-CVA-OWLS, where S can be the digits 1-9, C and O can be the digits 6-9, V and W can be any odd number from 2 to 8, L has to be the digit 4, and A can be any digit. How many possible phone numbers can be created for the university? Show your work.

Math

Permutations and CombinationsQUESTION 10
The phone numbers on the University of Georgia campus have the form SSS-CVA-DAWG, where S can be the digits 1 to 9, C and D can be the digits 5 to 9, V and W can be any odd number from 1 to 9, A has to be the number 0, and G can be any digit. How many possible phone numbers?