10) Which of the following is not a group? * (Z,*), a* b = a + 2b Va, b E Z O (Z,*), a* b = a +b Va, b E Z (Z,*) ,a* b = a + b -2 Va, b EZ O (Z,*), a* b = a + b - 1 Va, b E Z
10) Which of the following is not a group? * (Z,*), a* b = a + 2b Va, b E Z O (Z,*), a* b = a +b Va, b E Z (Z,*) ,a* b = a + b -2 Va, b EZ O (Z,*), a* b = a + b - 1 Va, b E Z
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 39RE: How many subsets does the set 1,3,5,...,99 have?
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Transcribed Image Text:10) Which of the following is not a
group? *
O (Z,*), a* b = a + 2b Va, b EZ
(Z,*), a* b = a + b Va, b EZ
(Z,*) ,a* b = a +b -2 Va, b EZ
(Z,*), a* b = a + b - 1 Va, b E Z
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