Question

An academic department has just completed voting by secret ballot for a department head. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate

b. suppose these clips are removed from the box one by one.
a. list all possible outcomes.

Answer 1

There are such possible removing two slips:

1. 1st was removed slip with votes for candidate a, 2d was also removed slip with votes for candidate a. Then there remained 2 slips with votes for candidate a and 3 slips with votes for candidate b.

2. 1st was removed slip with votes for candidate a, 2d was removed slip with votes for candidate b. Then there remained 3 slips with votes for candidate a and 2 slips with votes for candidate b.

3. 1st was removed slip with votes for candidate b, 2d was removed slip with votes for candidate a. Then there remained 3 slips with votes for candidate a and 2 slips with votes for candidate b.

4. 1st was removed slip with votes for candidate b, 2d also was removed slip with votes for candidate b. Then there remained 4 slips with votes for candidate a and 1 slip with votes for candidate b.