The Election Commission is responsible for conducting free and fair elections in India. In this context, let`s analyze each option provided in the question.

Option 1: Allotment of election symbols - This is indeed a work of the Election Commission. It assigns unique symbols to political parties and candidates to represent them on ballot papers.

Option 2: Fixing of election dates - This is also a work of the Election Commission. They decide the dates for elections and ensure a proper schedule is followed.

Option 3: Keeping the fairness of the election - This is a fundamental responsibility of the Election Commission. They ensure that the election process is fair and transparent by implementing rules and regulations.

Option 4: Selecting Candidates for Election - This statement is incorrect. The Election Commission does not select candidates for elections. It is the political parties and individuals who nominate and select their candidates.

In conclusion, the correct answer is option 4.