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In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are 

  1. $\overline{X}Y,\;X\overline{Y}$
  2. $\overline{X}Y,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$
  3. $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}$
  4. $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$
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