MAT 121 Test 1 Questions With
Complete Answers
Find the number of distinguishable arrangements of the letters of the word
TRILLION - ANSWER 10080
A 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. - ANSWER 16
When two fair dice are rolled, there are 36 possible outcomes. How many
possible outcomes would there be if three fair dice were rolled? - ANSWER 216
After rolling the first ball of a frame in a game of 10-pin bowling, how many
different pin configurations can remain (assuming all configurations are
physically possible)? - ANSWER 1024
In how many ways could members of the following club line up all 9 members for
a photograph? (James, Sandy, Jane, Alan, Tammy, Cathy, David, Sandy Ashley)
- ANSWER 362880
How many ways can a male and a female be selected to decorate for a party
from a club consisting of eight members where six are men and two are women?
- ANSWER 12
Counting numbers are to be formed using only the digits 6, 4, 1, 3, and 5.
Determine the number of different possibilities for two-digit numbers. - ANSWER
25
For $3.98 you can get a salad, main course, and dessert at the cafeteria. If you
have a choice of 4 different salads, 7 different main courses, and 6 different
desserts, then how many different meals can you get for $3.98? - ANSWER 168
A multiple-choice test consists of 8 questions with each question having 3
possible answers. How many different ways are there to mark the answers? -
ANSWER 6561
Don has eight pairs of shoes, nine pairs of pants, and three shirts. If all items are
compatible, how many different outfits can he wear? - ANSWER 216
, Tonya's ZIP code is 14768. How many zip codes altogether could be formed,
each one using those same five digits? - ANSWER 120
Amy, Brenda, Chuck, Deirdre, and Early have reserved five seats in a row at the
theater, starting at an aisle seat. In how many ways can they arrange
themselves? - ANSWER 120
Six men and six women have just six tickets in one row to the theater. In how
many ways can they sit if the first person in the row is a woman, and the people
alternate woman, man, woman, man, and so on? - ANSWER 14400
At a lumber company, shelves are sold in 4 types of wood, 5 different widths and
5 different lengths. How many different types of shelves could be ordered? -
ANSWER 100
A sports shop sells tennis rackets in 4 different weights, 3 types of string, and 3
grip sizes. How many different rackets could they sell? - ANSWER 36
Given a committee of 8 women and 11 men, count the number of different ways
of choosing a president, a secretary, and a treasurer, if the president must be a
woman and the secretary and treasurer must be men. Assume no one can hold
more than one office. - ANSWER 880
Given a group of students: G={Allen, Brenda, Chad, Dorothy, Eric}, count the
number of different ways of choosing a treasurer and a secretary if the two must
not be the same sex. - ANSWER 12
Four accounting majors, two economics majors, and three marketing majors
have interviewed for five different positions with a large company. Find the
number of different ways that five of these people could be hired if the first two
positions are to be filled by accounting majors, the third position is to be filled by
an economics major, and the last two positions are to be filled by marketing
majors. - ANSWER 144
Four accounting majors, two economics majors, and three marketing majors
have interviewed for five different positions with a large company. Find the
number of different ways that five of these people could be hired if the first
position is to be filled by an accounting major, the second position is to be filled
by an economics major, the third position is to be filled by a marketing major,
and the last two positions can be filled by any major. - ANSWER 720
Determine the number of permutations (arrangements) possible of 7 things
taken 3 at a time. - ANSWER 210
Find the number of combinations (subsets) of 9 things taken 5 at a time. -
ANSWER 126
Complete Answers
Find the number of distinguishable arrangements of the letters of the word
TRILLION - ANSWER 10080
A 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. - ANSWER 16
When two fair dice are rolled, there are 36 possible outcomes. How many
possible outcomes would there be if three fair dice were rolled? - ANSWER 216
After rolling the first ball of a frame in a game of 10-pin bowling, how many
different pin configurations can remain (assuming all configurations are
physically possible)? - ANSWER 1024
In how many ways could members of the following club line up all 9 members for
a photograph? (James, Sandy, Jane, Alan, Tammy, Cathy, David, Sandy Ashley)
- ANSWER 362880
How many ways can a male and a female be selected to decorate for a party
from a club consisting of eight members where six are men and two are women?
- ANSWER 12
Counting numbers are to be formed using only the digits 6, 4, 1, 3, and 5.
Determine the number of different possibilities for two-digit numbers. - ANSWER
25
For $3.98 you can get a salad, main course, and dessert at the cafeteria. If you
have a choice of 4 different salads, 7 different main courses, and 6 different
desserts, then how many different meals can you get for $3.98? - ANSWER 168
A multiple-choice test consists of 8 questions with each question having 3
possible answers. How many different ways are there to mark the answers? -
ANSWER 6561
Don has eight pairs of shoes, nine pairs of pants, and three shirts. If all items are
compatible, how many different outfits can he wear? - ANSWER 216
, Tonya's ZIP code is 14768. How many zip codes altogether could be formed,
each one using those same five digits? - ANSWER 120
Amy, Brenda, Chuck, Deirdre, and Early have reserved five seats in a row at the
theater, starting at an aisle seat. In how many ways can they arrange
themselves? - ANSWER 120
Six men and six women have just six tickets in one row to the theater. In how
many ways can they sit if the first person in the row is a woman, and the people
alternate woman, man, woman, man, and so on? - ANSWER 14400
At a lumber company, shelves are sold in 4 types of wood, 5 different widths and
5 different lengths. How many different types of shelves could be ordered? -
ANSWER 100
A sports shop sells tennis rackets in 4 different weights, 3 types of string, and 3
grip sizes. How many different rackets could they sell? - ANSWER 36
Given a committee of 8 women and 11 men, count the number of different ways
of choosing a president, a secretary, and a treasurer, if the president must be a
woman and the secretary and treasurer must be men. Assume no one can hold
more than one office. - ANSWER 880
Given a group of students: G={Allen, Brenda, Chad, Dorothy, Eric}, count the
number of different ways of choosing a treasurer and a secretary if the two must
not be the same sex. - ANSWER 12
Four accounting majors, two economics majors, and three marketing majors
have interviewed for five different positions with a large company. Find the
number of different ways that five of these people could be hired if the first two
positions are to be filled by accounting majors, the third position is to be filled by
an economics major, and the last two positions are to be filled by marketing
majors. - ANSWER 144
Four accounting majors, two economics majors, and three marketing majors
have interviewed for five different positions with a large company. Find the
number of different ways that five of these people could be hired if the first
position is to be filled by an accounting major, the second position is to be filled
by an economics major, the third position is to be filled by a marketing major,
and the last two positions can be filled by any major. - ANSWER 720
Determine the number of permutations (arrangements) possible of 7 things
taken 3 at a time. - ANSWER 210
Find the number of combinations (subsets) of 9 things taken 5 at a time. -
ANSWER 126
