MTH 221 Week 1 DQS

MTH 221 Week 1 DQS

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MTH 221 Week 1 DQS

DQ 1

Consider the problem of how to arrange a group of n people so each person can shake hands with every other person. How might you organize this process? How many times will each person shake hands with someone else? How many handshakes will occur? How must your method vary according to whether or not n is even or odd?

DQ 2

There is an old joke that goes something like this: “If God is love, love is blind, and Ray Charles is blind, then Ray Charles is God.” Explain, in the terms of first-order logic and predicate calculus, why this reasoning is incorrect

DQ 3

There is an old joke, commonly attributed to Groucho Marx, which goes something like this: “I don’t want to belong to any club that will accept people like me as a member.” Does this statement fall under the purview of Russell’s paradox, or is there an easy semantic way out? Look up the term fuzzy set theory in a search engine of your choice or the University Library, and see if this theory can offer any insights into this statement

DQ 4

After reading Chapter 1 in our ebook, what is the difference between combinations and permutations? What are some practical applications of combinations? Permutations?
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