1.2.Consider the set of words (character strings) consisting "a" and "b", e.g. "aaba", "bbaba".(a) How many words have length 10 in this set?(b) A word is called special if it is lexicographically strictly smaller than any of its proper suffixes.For example, "ababb" is special. How many words of length 10 are special?Suppose that two identical decks of 52 distinct cards (total 104 cards) are mixed togetherand are randomly divided into 13 hands of 8 cards each. What is the probability that no hand hasmore than one ace?

1) consider the set of words consisting "a" and "b" a) Words having length 10. - - - - - - - - - -…

Answered: (a) How many words have length 10 in…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...

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Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .

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(a) How many words have length 10 in this set? (b) A word is called special if it is lexicographically strictly smaller than any of its proper suffixes. For example, "ababb" is special. How many words of length 10 are special?