9. Given that F1 = SUM m(0,1,2) and F2 = PRD M(2,3,4,5), which of the following represent the only correct expression for F1 + F2?

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

2 is CORRECT. F2 may be expressed as F2 = SUM m(0,1,6,7) therefore 

          F1 + F2 = SUM m(0,1,2) + SUM m(0,1,6,7) 
                  = m0 + m1 + m2 + m0 + m1 + m6 + m7 
                  = m0 + m1 + m2 + m6 + m7   (recall: x + x = x) 
                  = SUM m(0,1,2,6,7)

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