Answer:

 

# of

Voters

 

Place

13 12 10
1st G I G
2nd I G I

This preference schedule can actually be simplified further.
Notice that the column headed 13 and the one headed 10 are the same. So, we could combine these two columns into one column headed 23 (13+10).
With these simplifications, the preference schedule above can be written more compactly as:

 

# of

Voters

Place

23 12
1st G I
2nd I G

It is up to you whether to simplify a preference schedule or not. There are advantages (simplifies subsequent work) and disadvantages (sometimes the extra time required to simplify is not offset by the time saved down the line).



If you had trouble, think of it this way, James is out, so mark through all the J's in the preference schedule that still has James in it.

 

# of

Voters

 

Place

13 12 10
1st G I J
2nd J J G
3rd I G I

Now, each candidate below J in each of the columns moves up one position producing the preference schedule below.

   

# of

Voters

Place

13 12 10
1st G I J G
2nd J I J G G I
3rd      

Since the J's are marked out, they can be taken out of the preference schedule and since there are no longer any entries in the 3rd place row, it can be eliminated to produce the final preference schedule.

   

# of

Voters

Place

13 12 10
1st G I G
2nd I G I

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