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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?

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
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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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
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
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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