10. Given that F1 = SUM m(1,2,4,6,7) and F2 = PRD M(3,5,6) which of the following represent the only correct expression for F1*F2?

  1. F1*F2 = PRD M(0,3,5,6)
  2. F1*F2 = SUM m(1,3,5,7)
  3. F1*F2 = SUM m(0,3,5,6)
  4. F1*F2 = PRD M(1,2,4,7)
  5. F1*F2 = PRD M(2,4,6,7)

1 is CORRECT. F1 may be expressed as F1 = PRD M(0,3,5) therefore 

          F1 * F2 = PRD M(0,3,5) * PRD M(3,5,6) 
                  = M0*M3*M5*M3*M5*M6 
                  = M0*M3*M5*M6              (recall: x*x = x) 
                  = PRD M(0,3,5,6)

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