1. The House of Commons, in the parliamentary system of the United Kingdom, can be viewed as the following weighted voti

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1. The House of Commons, in the parliamentary system of theUnited Kingdom, can be viewed asthe following weighted voting system as long as all members of eachparty vote as a bloc. In thiscase, each “voter” is a political party with the indicated numberof seats (as of 2020) in the Houseof Commons. [326 : 365, 202, 47, 11, 8, 7, 4, 2, 1, 1, 1]
(a) How many different political parties are there representedin the House of Commons?
(b) List the minimal winning coalitions of the House ofCommons.
(c) In this case, v1 is the Conservative party. What can you sayabout their role in this weightedvoting system (e.g. dictator, veto power, dummy, none of theabove)?
(d) Following the 2017 election, the voting system would haveinstead looked like[326 : 317, 262, 35, 12, 10, 7, 4, 1, 1].Was the Conservative party’s role (still v1 in this system), interms of voting power, differentthan as proposed in the original problem statement? In what way, ifso?