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Terms in this set (57)Sets with similar termsOther sets by this creatorVerified questions
ADVANCED MATH Give a proof using the Pigeonhole Principle: (a) The Italian village of Solomeo has a population of 400 . Prove that there are at least two village residents with the same birthday. (b) Let $S \subseteq \mathbb{N}_{99}$ such that S contains exactly 10 elements. Prove that S has two disjoint subsets with identical sums. For example, if S contains 4,12,18,27,36,50,61,62,70, and 98, then the elements of the sets {4,12,27,36} and {18,61} both add up to 79. (c) Suppose that n + 1 different numbers have been selected from the set $\{1,2, \ldots, 2 n\}.$ Prove that there are two selected numbers whose sum is 2n + 1. (d) Let S be a set of n + 1 integers. Prove that there exist distinct integers a and b in S such that a - b is a multiple of n. (e) The English market town of Newton-le-Willows has a population of 21,307. Assuming that every resident has a first, middle, and last name, prove that there are two residents with identical three-letter initials. (f) There are 10 hotel rooms $5,10.15, \ldots, 50 .$ Prove that if 6 of these rooms are occupied by hotel guests, then at least two occupied rooms have numbers that differ by 5. (g) There are 50 hotel rooms numbered $1,2,3, \ldots 50,$ and 26 of these rooms are occupied by guests. Prove that at least two occupied rooms have numbers that differ by 5. Verified answer
ADVANCED MATH Verified answer
ADVANCED MATH Verified answer
ADVANCED MATH Verified answer Recommended textbook solutionsOther Quizlet setsRelated questionsWhat Pharming involves quizlet?Pharming involves: redirecting users to a fraudulent website even when the user has typed in the correct address in the web browser.
Is used to identify a hacker with criminal or malicious intent?The term cracker is used to identify a hacker with criminal or malicious intent. Wireless networks are more difficult for hackers to gain access to because radio frequency bands are difficult to scan.
What is a Trojan horse quizlet?Trojan Horse ( or Trojan) A malware program that appears to perform some useful task, but which also does something with negative consequences (e.g., launches a keylogger) Trojan Horse Characteristics. -Often concealed as a utility program that is advertised to do a routine task easier or give additional functionality.
What cybercrime method uses a network to send copies of itself to other systems?A computer worm is a standalone malware computer program that replicates itself in order to spread to other computers. It often uses a computer network to spread itself, relying on security failures on the target computer to access it.
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Which of the following specifically makes malware distribution and hacker attacks to disable websites a federal crime quizlet?
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