[ @arjun Sir pls check the approach and correct me if wrong ]
Minimization In Varialbe Entered K-MAP
Step 1 : Set all the variables in the cell as '0' (here put e and e' as 0) and obtain SOP Expression
Step 2 a : Making one variable in the cell as '1' ( here put e as 1 and e' as 0 ) and obtain SOP by making ear;ier minterms as dont care (here earlier '1' will now be set as dont care $\phi$)
Step 2b : Multiply Above SOP with concerned variable
Repeat Step 2 untill all varialbes are covered
Step 3 : SOP of VEM is obtainned by ORing all the obtained SOP
Step 1
In place of variables put it as '0' and obtain SOP
Step 2 a
In place of one variable e denote it as 1 and minterm 1 as dont care and e' as 0 and obtain SOP
Step 2 a
In place of one variable e' denote it as 1 and minterm 1 as dont care and e as 0 and obtain SOP
SOP : $b\bar{c}\bar{d} + \bar{b}cd+e(b\bar{c}+a\bar{b}d)+\bar{e}(cd)$
Only 2 minterms will be free from e and e' . Hence Option a
Good Read