Question: a) Is every bijective function also one-to-one? Answer YES or NO. b) If R is a binary relation containing a single element, is it always

a) Is every bijective function also one-to-one? Answer YES or NO. b) If R is a binary relation containing a single element, is it always transitive? Answer YES or NO. c) Is the cardinality of the power set even? Answer YES or NO. d) Can a partially ordered set contain three distinct maximal elements? Answer YES or NO. e) Does the natural number M have two distinct partitions? Answer YES or NO

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