An academic department has just completed voting by secret ballot for a department head. The ballot...

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An academic department has just completed voting by secretballot for a department head. The ballot box contains four slipswith votes for candidate A and three slips with votes for candidateB. Suppose these slips are removed from the box one by one. Forexample, one outcome is BBBAAAA. (Enter your answers in setnotation. Enter EMPTY or ? for the empty set.) (a) List allpossible outcomes. This answer has not been graded yet. (b) Supposea running tally is kept as slips are removed. For what outcomesdoes A remain ahead of B throughout the tally?

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