6. How many ways are there to arrange the letters in the following words?.(a) PENCIL(b) PEPPER

Answered: 6. How many ways are there to arrange…

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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B) has more than one answer .. Thank you
1. A local restaurant serves tacos for $1 every Tuesday. For each taco, you must choose one filling, salsa, and tortilla. • Filling: Carne Asada, Pollo Asado, Al Pastor, Carnitas, Chorizo, Grilled Fish, Mushroom Salsa: Mild, Medium, Hot • Tortilla: Corn, Flour How many different kinds of tacos can be made?
Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. a) How many ways can this be done, if the order of the choices is relevant? b) How many ways can this be done, if the order of the choices is not relevant?
In an encyclopedia of language, the author presents five sentences that make a reasonable paragraph regardless of their order. The sentences are listed below. Mark had told him about the foxes. John looked out of the window. Could it be a fox? However, nobody had seen one for months. He thought he saw a shape in the bushes. In how many different orders can the five sentences be arranged?
5. Tickets for the Valentine Dance cost $3 per person or $5 per couple. If $475 worth of tickets were sold and 180 people attended the dance, how many couples were there? (state your answer (a,b) no spaces, with a being the smaller number on the number line) *
1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the first letter is a vowel and the last letter is a consonant? o the first three letters are vowels? 1. Jessie starts from home and walks three (3) blocks north and five (5) blocks east to the library. From the library, she travels four (4) blocks north and seven (7) blocks east to the pizzeria. o How many different routes can Jessie take to go from home to the library if she is always moving closer to the library? o How many different routes can Jessie take to go from home to the pizzeria if she is always moving closer to the pizzeria? 1. A teacher must select five (5) students to attend a conference. She has 11 males and 13 females to choose from. Determine the number of way of selecting: o a group of five with no restrictions o exactly 3 females o at least 4 males o at most 3 females
Compute the following. 7 b. 9! C. а. 6!(9 - 6)! 11 e. 10 6. 9! (Type a whole number.) a. 6!(9 – 6)! 5 d.
questions to be asnwered part of 6 parts: a. How many listened to only rock music? n(only rock)= b. How many listened to classical and jazz, but not rock? n(classical and jazz, not rock)= c. How many listened to classical or jazz, but not rock? n( classical or jazz, not rock) = d. how many listened to music in exactly one of the musical styles? n( exactly one style) = e. How many listened to music in exactly two of the musical styles? n( exactly two styles) = f.how many did not listen to any of the musical styles? n( none) =
Bread Meat Spread Mayo (0.5) Honey Oat Ham (0.4) (0.6) Mustard Turkey (0.4) White (0.2) (0.6) Ranch (0.3)
2. If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? Write your response below:
10. Your cousin loves legos. She has legos that are all the same shape and look identical except that they come in three colors: red, blue, and green. (a) In how many ways can she build a tower using exactly four blue legos and eleven red legos? Include one or two sentences to explain your answer. (The tower is built up from the ground by placing legos one on top of the other.) (b) In how many different ways can she give you a bag of 20 red, blue, and green legos to take home, with at least one of each color? Include one or two sentences to explain your answer.

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6. How many ways are there to arrange the letters in the following words? (a) PENCIL (b) PEPPER ......