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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?
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144

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.
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