Consider the following two types of elections to determine which of two parties $A$ and $B$ forms the next government in the 2014 Indian elections. Assume for simplicity an Indian population of size $545545 (=545 * 1001)$. There are only two parties $A$ and $B$ and every citizen votes.
TYPE C: The country is divided into $545$ constituencies and each constituency has $1001$ voters. Elections are held for each constituency and a party is said to win a constituency if it receive a majority of the vote in that constituency. The party that wins the most constituencies forms the next government.
TYPE P: There are no constituencies in this model. Elections are held throughout the country and the party that wins the most votes (among $545545$ voters forms the government.
Which of the following is true?
- If the party forms the govt. by election TYPE C winning at least two-third of the constituencies, then it will also forms the govt. by election TYPE P.
- If a party forms govt. by election TYPE C, then it will also form the govt. by election TYPE P.
- If a party forms govt. by election TYPE P, then it will also form the govt. by election TYPE C.
- All of the above
- None of the above.