Question 9 (Mandatory) (3.5 points)Saved(1) How many elements in Z₁13 and (2) what are possible orders in Z 13?a) (1) Number of elements: 12 and (2) possible orders: {1, 2, 3, 4, 6, 12}○ b) (1) Number of elements: 13 and (2) possible orders: {1, 13}c) (1) Number of elements: 13 and (2) possible orders: {1, 2, 3, 4, 6, 12, 13}d) (1) Number of elements: 12 and (2) possible orders: {0, 1, 2, 3, 4, 6, 12}Previous PageNext PagePage 9 of 30

Answered: Question 9 (Mandatory) (3.5 points)…

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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A study by Forbes indicated that the five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filters separate spam from ham (email not considered to be spam) through application of Bayes' theorem. Suppose that for one email account, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam email are given below. shipping! 0.051 today! 0.045 here! 0.034 available 0.014 fingertips! 0.014 Also suppose that the proportions of ham messages that have these words are: shipping! 0.0015 today! 0.0022 here! 0.0022 available 0.0041 fingertips! 0.0011 a. If a message includes the word shipping!, what is the percent probability the message is spam? If a message includes the word shipping!, what is the percent probability the message is ham? Should messages that include the word shipping! be flagged as spam? b. If a message includes the word today!, what is the percent probability the…
Example 25. A shelf contains 7 Kannada books, 4 Hindi books and 5 English books. In how many ways can they be arranged so that (a) The Hindi books are together. (b) Kannada books are together and Hindi books are together, (c) No two English books are together. (d) Books of the same language are together. CS Scanned with CamScanner
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If n(A) = 5, n(B) = 6, and n(C) = 9, what is the greatest and least number of elements in each of the following? (a) AU BUC (b) An Bnc (a) The greatest number of elements is A U BUC is The least number of elements in AUBUC is (b) The greatest number of elements in An Bn C is The least number of elements is An B n Cis
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Suppose we want to choose 7 objects, without replacement, from 11 distinct objects.(If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is taken into consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?
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