Deconstruct each biconditional statement into an if-then statement and its converse.1. Two angles are congruent if and only if their measures are equal.2. A three-dimensional figure is a prism if and only if it has two identical bases and rectangular faces.3. Violet can go to a concert with her friends on Saturday if and only if she cleans her room on Friday.

If the measure of two angles are equal, then they are congruent and conversely, if two angles are…

Answered: Deconstruct each biconditional…

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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I have a rectangular carton filled with Each of my 6 friends can be assigned an equal number of rows. Each chicken laid an equal number of eggs, all of which are in the carton. For which number of chickens can I guarantee that chickens can be assigned rows, such that each row contains eggs from only the assigned chicken? O 2 0 3 4 O 5
2. Let A, B, C be three sets. Find sets A, B&C St. Anc≤ BUC and AUCS BUC but A‡B
Identify the problem/situation requires Permutation or Combination. Write PERM if Permutation and COMB is Combination. a.Brian is planning to change the password of his social media accounts because it was accessed illegally some hackers. He will be using an 8-letter password from his old one, BRIANCUTE. Each letter must appear once. b.Forming triangles from 6 distinct points in which no 3 points are collinear. c.A sari-sari store owner wants to display 20 pieces of different canned goods in a row on a shelf. d.Anne and her siblings are planning to throw a surprise party for their parents' 50th wedding anniversary. The caterer proposed 8 viands, 5 desserts, and 4 drinks. Because of their limited budget, they decided to choose 4 viands, 2 desserts, and 2 drinks. e.A group of 25 people are going to run a race. The top 8 finishers will advance to the finals.
Answer clearly with explanation
Answer the following problem. Show the complete solutions and simply your answer.
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A 100-page document is being printed by four printers. Each page will be printed exactly once. Suppose that the first and the last page of the document must be printed in color, and only two printers are able to print in color. The two color printers can also print black-and-white. How many ways are there for the 100 pages to be assigned to the four printers. Hint: Use the product rule.
Determine whether the following pair of sets is equivalent. Justify your answer. {a, b, c, d,.., z} and {1, 2, 3, 4,.., 26} Are the sets equivalent? A. No, the two sets have a different number of elements. O B. No, the two sets do not have any of the same elements. C. Yes, both sets have the same number of elements. OD. Yes, both sets are subsets of larger sets.
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Directions: Read and understand each test item below. Write the letter that corresponds the correct answer on a separate sheet of paper. 1. What makes combination different from permutation? a. In permutation, the position is not important. b. There are more arrangements in combination than in permutation. c. In combination, the position is not important. d. There are less arrangement in permutation than combination. 2. The following statements about combination are correct EXCEPT a. C (6,6) = 1 b. C (5,2) = C (5,3) c. C (6,0) = 0 d. C (100,99) = 100 3. A bride decided to choose 2 colors from 5 of her favorite colors to be the motif of her wedding. How many color combinations are possibl0e? a, 60 b. 20 c. 10 d. 5
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