*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Does this table show a binary operation? (a) Yes (b) No.

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Presentation transcript:

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Does this table show a binary operation? (a) Yes (b) No

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Is there an identity element? If so, what is it? (a) No(b) Yes, p (c) Yes, q (d) Yes, r (e) Yes, s (f) Yes, t (g) Yes, u (h) Yes, v (i) Yes, w

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Does p have an inverse? If so, what is it? (a) No(b) Yes, p (c) Yes, q (d) Yes, r (e) Yes, s (f) Yes, t (g) Yes, u (h) Yes, v (i) Yes, w

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Does q have an inverse? If so, what is it? (a) No(b) Yes, p (c) Yes, q (d) Yes, r (e) Yes, s (f) Yes, t (g) Yes, u (h) Yes, v (i) Yes, w

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Does every element have an inverse? (a) Yes (b) No

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Does this table define a group? (a) Yes (b) No (c) I don’t know and if you think I am going to check associative you are out of your freaking mind.

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp What is the order of this group? (a) 1(b) 6 (c) 8(d) 50 (e) 64(f) Primary

*pqrstuvw pruptsqwv qupqwvrst rpqrstuvw stvsprwuq tswtrpvqu uqruvwpts vwtvquspr wvswuqtrp Is this group abelian? (a) Yes (b) No