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Electoral Nightmare

For the 2016 US Presidential Election, what is the maximum difference in the Popular Vote that could still result in a losing Electoral Vote?

Here are the actual results: note that Clinton received 2.8 million more votes than Trump, who won in the electoral college with 306 votes to Clinton’s 232.

Here is an Extreme Scenario with the same red/blue states as the actual election. Here, Clinton wins blue states by 100%, and loses red states by a couple of votes. Note that Clinton receives 56 million more votes than Trump, who wins his 306 electoral votes with just 28% of the popular vote.

Here is another Extreme Scenario with the same red/blue states as the actual election. Here, Trump wins red states by 100%, and loses blue states by a couple of votes. Note that Trump receives 72 million more votes than Clinton, and wins his 306 electoral votes with 78% of the popular vote.

In the following Most Extreme scenario, Clinton wins the most populous states by 100%, and loses less populous states by a couple of votes. Note that Clinton receives 72 million more votes than Trump, who wins his marginal 270 electoral votes with just 22% of the popular vote. (Congrats: Eric Hanczyc (WA), Mike Arms (NM)).

In this final Very Extreme scenario: Trump wins the most populous states by a couple of votes, and gets no votes in less populous states. Note that Clinton receives 55 million more votes than Trump, who wins his marginal 270 electoral votes with just 28% of the popular vote. (Congrats: Brian Pasko (NM))

From NMSR's Puzzle Page, DECEMBER 2016 PUZZLE - "Electoral College Nightmare"

Submitted by Mike Arms
Solutions Above have been scaled to actual 2016 totals.

The December Bonus Puzzle: For the 2016 US Presidential Election, what is the maximum difference in the Popular Vote that could still result in a losing Electoral Vote? Use these data (an Excel spreadsheet with these data is available at www.nmsr.org/electoral.xls).

1st column=Census population (2010)
2nd column=Total seats in House of
Representatives (2013–2023)
3rd column=State
PopSeatsState
3725450353 California
2514610536 Texas
1880462327 Florida
1937808727 New York
1283154918 Illinois
1270288718 Pennsylvania
1153672516 Ohio
968868114 Georgia
953569213 North Carolina
988412914 Michigan
879193612 New Jersey
800104511 Virginia
672454310 Washington
63923079 Arizona
65478179 Massachusetts
64842299 Indiana
63462759 Tennessee
59889278 Missouri
57737858 Maryland
56872898 Wisconsin
53039258 Minnesota
50293247 Colorado
46254017 South Carolina
47801277 Alabama
45334796 Louisiana
43393496 Kentucky
38310735 Oregon
37516165 Oklahoma
35741185 Connecticut
30468694 Iowa
27638884 Utah
29681034 Mississippi
29159584 Arkansas
28531324 Kansas
27006914 Nevada
20591923 New Mexico
18263413 Nebraska
18530113 West Virginia
15676522 Idaho
13603012 Hawaii
13164662 New Hampshire
13283612 Maine
10529312 Rhode Island
9894171 Montana
8979361 Delaware
8141911 South Dakota
6725911 North Dakota
7102491 Alaska
6257451 Vermont
5637671 Wyoming
308156338435The fifty states
6017673 District of Columbia
308758105438Fifty states + D.C.
Electoral Votes538Add 2 senators per state
Needed to win: 270

Hall of Fame (December Puzzle Solvers):

Eric Hanczyc (WA)
Brian Pasko (NM)
Mike Arms (NM)

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