BMAD

but can someone prove it?

I have a slightly different answer

yes, your example is 2 steps. It's not my example. Check 37-14. silly me.

run off works when the third placed person votes are eliminated and the voter's that picked that candidate now must pick their second choice. Then the one with the most between the two remaining is the winner, So to show this answer your solution needs to be reformatted.

In the sequence : 12345678910111213 . . . what position does 2003 first appear?

As the title states, the rules for winning matters. There are three popular methods outside of the majority rule: (1) Plurality: The topic with the most first-choice votes ("preferneces") wins. (2) Instant Runoff: Eliminate the third-place topic (in number of preferences), and add the 2nd-choice votes of that topic to preferences of the first two. (3) Point system: Two points for each 1st choice, one for each 2nd choice. Create a scenario where we have fifteen votes for three candidates and depending on the rules for winning there is a completely different winner each time.

A regulation golf ball is spherical and has 384 dimples, arranged in a triangular pattern. Most of the dimples are surrounded by six other dimples, but some are surrounded by only five. How many dimples have only five neighbors?

You are very close!

winner winner chicken dinner

6 x 4 should be 2 81 x 63 should be 135 6x4 ruins at least the two corner tiles. Nothing else? i missed typed 6x4 ruins 8

6 x 4 should be 2 81 x 63 should be 135

a) How many tiles are ruined on a 4 by 6 floor? b) How about a 63 by 81 floor?

The balls are identical in size.

A boy has four red balls and eight blue balls. He arranges his twelve balls randomly, in a ring. What is the probability that no two red balls are adjacent?

A traveler wants to tour five cities in one day: Anamoose, Brindle, Catfish, Danville, & Easton; located at (1,0), (2,3), (-2,4), (5,-1), and (-3,-2), respectively. He wants to see all cities (the order doesn't matter) and travels from town to town in straight lines. What is the shortest total distance possible? Where should he start? What is the sequence of cities he visits?