# Question: Give solutions to 6 tasks only! Maximum 15 points can be received. They will be normalized SECTIO……

Give solutions to 6 tasks only! Maximum 15 points can be received. They will be normalized SECTION I. Relations TASK 1 (1 introduct CaBxA, if A-(\$, %),B+ta, β.y) and C-(x). Cartes ian p Answer: Assessment: corect answer: 1 point 1 mistake: 0.5 points; >1 mistake: 0 points TASK 2 (2 points): For each relation represented by given zero-one matrices determine whether relations are reflexive, symmetric and transitive. If not, justify why 2.1 2.2 2.3 2.4 1100 1010 0110 1000 0101 0010 0 10 1 100 101 100 1 0 1 Answer: 2.3 2.4 2.1 2.2 correct answer to each subtask: 0.5 points; each mistake (wrong property/wrong justification’missing justification):-0.25 points Assessment: Page 1 of 4

A = { \$, %}

B= {α, ß, Γ }

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C = {x}

A x B = { (\$,α), (\$,ß), (\$,Γ), (%,α), (%,ß), (%,Γ)}

(A x B) x C = { (\$,α,x), (\$,ß,x), (\$,Γ,x), (%,α,x), (%,ß,x), (%,Γ,x)}

Size of A x B x C = (Size of A) x (Size of B) x (Size of C)

=3 x 2 x 1 = 6. (Answer)

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