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Which one of the following options regarding the binary operation is FALSE? a b c d aadcb bbada ccbac ddbca a. (a*b) (cd) = (a (b*d)) (d.c) b. (a*b) (b* a) can be used as a counterexample to prove that the binary operation is not commutative. c. (a*b) *d=a* (b* d) proves that the binary operation is associative. O d. The binary operation does not have an identity element.

Which one of the following options regarding the binary operation is FALSE? a b c d aadcb bbada ccbac ddbca a. (a*b) (cd) = (a (b*d)) (d.c) b. (a*b) (b* a) can be used as a counterexample to prove that the binary operation is not commutative. c. (a*b) *d=a* (b* d) proves that the binary operation is associative. O d. The binary operation does not have an identity element.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 4E
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Which one of the following options regarding the binary operation * is FALSE? abcd aadcb bbada ccbac ddbca a. (a*b) (cd) = (a * (b* d)) * (d * c) b. (a*b) (b* a) can be used as a counterexample to prove that the binary operation * is not commutative. c. (a*b) * d = a* (b* d) proves that the binary operation * is associative. d. The binary operation does not have an identity element. *
Transcribed Image Text:Which one of the following options regarding the binary operation * is FALSE? abcd aadcb bbada ccbac ddbca a. (a*b) (cd) = (a * (b* d)) * (d * c) b. (a*b) (b* a) can be used as a counterexample to prove that the binary operation * is not commutative. c. (a*b) * d = a* (b* d) proves that the binary operation * is associative. d. The binary operation does not have an identity element. *
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