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(a) Suppose you own 13 distinct bow ties. You are going on a 5-day trip and need to select a different tie for each day you will be gone (so you will select which tie to wear the first day, which to wear the second, and so on). How many ways can you do this? A. 13! = 6227020800 B. P(13,5) = 154440 C. (13) A. 13! = 6227020800 B. P(13,5) = 154440 C. = 1287 D. 5! = 120 (b) You are running late so decide to choose which tie to wear on which day later, and just want to pick 5 ties to toss into your suitcase. How many ways can you do this? D. 5! = 120 (13) = 5 = 1287

(a) Suppose you own 13 distinct bow ties. You are going on a 5-day trip and need to select a different tie for each day you will be gone (so you will select which tie to wear the first day, which to wear the second, and so on). How many ways can you do this? A. 13! = 6227020800 B. P(13,5) = 154440 C. (13) A. 13! = 6227020800 B. P(13,5) = 154440 C. = 1287 D. 5! = 120 (b) You are running late so decide to choose which tie to wear on which day later, and just want to pick 5 ties to toss into your suitcase. How many ways can you do this? D. 5! = 120 (13) = 5 = 1287

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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Choose the best answer to each counting problem in parts (a) and (b).
Transcribed Image Text:Choose the best answer to each counting problem in parts (a) and (b).
(a) Suppose you own 13 distinct bow ties. You are going on a 5-day trip and need to select a different tie for each day you will be gone (so you will select which tie to wear the first day, which to wear the second, and so on). How many ways can you do this? A. 13! = 6227020800 B. P(13,5) = 154440 C. 13 (1³) 5 = 1287 D. 5! = 120 (b) You are running late so decide to choose which tie to wear on which day later, and just want to pick 5 ties to toss into your suitcase. How many ways can you do this? = 1287 D. 5! = 120 A. 13! = 6227020800 B. P(13,5) = 154440 C. (13) (c) Explain the relationship between the two counting problems above. Be specific: don't just say which is larger, say how many times larger it is and why this makes sense.
Transcribed Image Text:(a) Suppose you own 13 distinct bow ties. You are going on a 5-day trip and need to select a different tie for each day you will be gone (so you will select which tie to wear the first day, which to wear the second, and so on). How many ways can you do this? A. 13! = 6227020800 B. P(13,5) = 154440 C. 13 (1³) 5 = 1287 D. 5! = 120 (b) You are running late so decide to choose which tie to wear on which day later, and just want to pick 5 ties to toss into your suitcase. How many ways can you do this? = 1287 D. 5! = 120 A. 13! = 6227020800 B. P(13,5) = 154440 C. (13) (c) Explain the relationship between the two counting problems above. Be specific: don't just say which is larger, say how many times larger it is and why this makes sense.
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