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10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit strings start with 1? (b) How many of those bit strings start with 01? (c) How many of those bit strings start with 001? (d) Are there any other strings we have not counted yet? Which ones, and how many are there? (e) How many bit strings are there total in B$?

10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit strings start with 1? (b) How many of those bit strings start with 01? (c) How many of those bit strings start with 001? (d) Are there any other strings we have not counted yet? Which ones, and how many are there? (e) How many bit strings are there total in B$?

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.8: Introduction To Cryptography (optional)
Problem 15E: a. Excluding the identity cipher, how many different translation ciphers are there using an alphabet...
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10. Consider the bit strings in B; (bit strings of length 6 and weight 2). (a) How many of those bit strings start with 1? (b) How many of those bit strings start with 01? (c) How many of those bit strings start with 001? (d) Are there any other strings we have not counted yet? Which ones, and how many are there? (e) How many bit strings are there total in B5? (f) What binomial identity have you just given a combinatorial proof for?
Transcribed Image Text:10. Consider the bit strings in B; (bit strings of length 6 and weight 2). (a) How many of those bit strings start with 1? (b) How many of those bit strings start with 01? (c) How many of those bit strings start with 001? (d) Are there any other strings we have not counted yet? Which ones, and how many are there? (e) How many bit strings are there total in B5? (f) What binomial identity have you just given a combinatorial proof for?
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