4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and Treasurer be chosen, if these positions must be held by different members?
4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and Treasurer be chosen, if these positions must be held by different members?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 12CT
Related questions
Question
![ng%202021%20(3).pdt
2 / 3
100%
4. A club has 25 members. In how many ways can the President, Vice-
President, Secretary, and Treasurer be chosen, if these positions must be
held by different members?
5. A group of 22 employees selects 3 people to serve on a negotiating
committee. In how many ways can this subgroup be chosen?
6. How many 4-digit codes can be formed from the integers 0, 1, 2, 3, 4, 5, 6,
7,8, and 9 if the first digit cannot be zero, and digits cannot repeat?
7. A license plate consists of three letters followed by 3 digits. No vowels (A,
E, I, O, U) can be used and the digit 0 cannot be the first digit. How many
such license plates are possible? (Letters and numbers may repeat.)
A coin is tossed three times. List all the outcomes, using H for heads and T
for tails.
9. From a group of 10 sophomores and 8 freshmen, a subset of 5 students is
formed consisting of 3 sophomores and 2 freshmen. How many such
combinations are possible?
10.Given a set of 5 non-collinear points: A, B, C, D, and E. How many distinct
lines can be drawn?
11. A true-false quiz contains 5 questions. How many different arrangements
of true and false are possible, assuming that the quiz will not have 5 true
answers nor 5 false answers?
Iya
brt sc
delete
144](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d0131dc-9ad8-4dc8-ac65-0029fd052dfc%2F50939f08-f398-4578-bf22-54ee24c9e23d%2Fotrmzxn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ng%202021%20(3).pdt
2 / 3
100%
4. A club has 25 members. In how many ways can the President, Vice-
President, Secretary, and Treasurer be chosen, if these positions must be
held by different members?
5. A group of 22 employees selects 3 people to serve on a negotiating
committee. In how many ways can this subgroup be chosen?
6. How many 4-digit codes can be formed from the integers 0, 1, 2, 3, 4, 5, 6,
7,8, and 9 if the first digit cannot be zero, and digits cannot repeat?
7. A license plate consists of three letters followed by 3 digits. No vowels (A,
E, I, O, U) can be used and the digit 0 cannot be the first digit. How many
such license plates are possible? (Letters and numbers may repeat.)
A coin is tossed three times. List all the outcomes, using H for heads and T
for tails.
9. From a group of 10 sophomores and 8 freshmen, a subset of 5 students is
formed consisting of 3 sophomores and 2 freshmen. How many such
combinations are possible?
10.Given a set of 5 non-collinear points: A, B, C, D, and E. How many distinct
lines can be drawn?
11. A true-false quiz contains 5 questions. How many different arrangements
of true and false are possible, assuming that the quiz will not have 5 true
answers nor 5 false answers?
Iya
brt sc
delete
144
![ections: Do all problems on separate paper. Show work or explain clearly. If
u are basing your solution on a formula, state the formula you are using.
aluate answers. Do not write an answer without support.
ch question is worth 2 points.
1. Six friends, A, B, C, D, E, F go to the movies together and sit in a row. In
how many ways can they sit if person D must have the aisle seat (there is
only one aisle seat)?
2. In how many ways can 10 people sit at a round table?
3. How many different arrangements of the letters in the word TENNESSEE
are there?
4. A club has 25 members. In how many ways can the President, Vice-
President, Secretary, and Treasurer be chosen, if these positions must be
held by different members?
5. A group of 22 employees selects 3 people to serve on a negotiating
committee In how many ways can this subgroun be chosen?
ort sc
delete
8.
backspace](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d0131dc-9ad8-4dc8-ac65-0029fd052dfc%2F50939f08-f398-4578-bf22-54ee24c9e23d%2F98ikzsp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ections: Do all problems on separate paper. Show work or explain clearly. If
u are basing your solution on a formula, state the formula you are using.
aluate answers. Do not write an answer without support.
ch question is worth 2 points.
1. Six friends, A, B, C, D, E, F go to the movies together and sit in a row. In
how many ways can they sit if person D must have the aisle seat (there is
only one aisle seat)?
2. In how many ways can 10 people sit at a round table?
3. How many different arrangements of the letters in the word TENNESSEE
are there?
4. A club has 25 members. In how many ways can the President, Vice-
President, Secretary, and Treasurer be chosen, if these positions must be
held by different members?
5. A group of 22 employees selects 3 people to serve on a negotiating
committee In how many ways can this subgroun be chosen?
ort sc
delete
8.
backspace
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