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### ELITE EIGHT: East & West Regions

EAST:

Game G:

H: Number of politicians whose surname begins with M in the work issued to them by the man responsible for a sonnet with a different letter at the end of every line.

L: Mrs. Poplar Wintergreen's fifth grade class contains sixteen students. Every morning, Mrs. Wintergreen randomly divides the classroom into five groups of three students each to venture off into a different area of Fantasy Elementary to slay those lurking metaphorical dragons. However, since that only accounts for fifteen students, the remaining student gets to accompany Mrs. Wintergreen on her never-ending quest to unlock the secrets behind the golden oracles of Swan Kingdom. One of the students, Sheila, considers herself happy if she is in the same group with both of her twin sisters Ashlie and Elisha or if she or either of her sisters is the student to join Mrs. Wintergreen on her quest. In simplest terms, assuming none of the students in the class are ever absent, the probability that Sheila is happy on any given day can be expressed as A/B. What is A + B?

WEST:

Game G:

H:

Carolina

’s friend Olivia went toDublin

L: After determining the logic between the columns, you can match each word in the left-hand column of the image below to exactly one entry in the right-hand column (the last three entries in the right-hand column are correctly empty). Notice, however, that one entry from the left-hand column has been replaced by a set of question marks. The answer to this clue is the standard alphanumeric sum (A = 1, Z = 26) of all the letters in this missing word.

## Comments

Is there significance to the weird font changes and spacing in WEST:GameG:H or is it another artifact of typepad?

Posted by: susy | Apr 1, 2008 7:23:07 PM

Definitely a Typepad artifact.

Posted by: JmSR | Apr 2, 2008 8:41:32 AM

EAST:

Game G:

3 Baskin-Robbins 47

4 BLTU 67 W

H: (Remember George Starbuck?) In his work, “Poem Issued by Me to Congressmen” he lists lots of sunames, including 47 that begin with the letter M.

Paula Stevens, Author

L: There is a 3/16 chance that the probability that Sheila is happy is 1 (that is, she or either of her sisters is chosen for the quest). Otherwise, or 13/16 of the time, the only way Sheila will be happy is if she is in the same group as both Ashlie and Elisha (note that it is impossible for both of the events that cause Sheila to be happy to occur). No matter what, 13/16 of the time, Sheila will be in a group with two other individuals. The only way she can be happy in this scenario is if the two other individuals she is with are her sisters. There are a total of 14C2 possibilities for who else is in her group (the notation represents the number of ways 14 items can be taken 2 at a time if order doesn't matter), or 91. So she has a 13/16 probability her chance of happiness is 1/91 and a 3/16 probability that it is 1. The expression (13/16)(1/91) + (3/16)(1) can be reduced to 11/56, which means A + B equals 67.

Mike Graczyk, Author

WEST:

Game G:

1 Maggie Mae or May Not University 87 W

2 DUI - Defensive Driving 77

H: In North Carolina, if one travels south on Highway 87 she will pass through the towns Olivia, Dublin and Carvers.

Paula Stevens, Author

L: When matched up appropriately, an item from the left column plus an item from the right column can be anagrammed to form a sign of the Zodiac. For example, "BAIL" + "R" = "LIBRA", "SPICES" = "PISCES" (utilizing one of the blank entries in the right-hand column), etc. It doesn't take long to find there's no "Q" on the board for "AQUARIUS"; in fact, when everything matches up, the "IU" square on the right must match up with the question marks. The word that replaces the question marks is "QUASAR," which has a total alphanumeric sum of 77.

Mike Graczyk, Author

Posted by: JmSR | May 1, 2008 10:47:51 AM

I loved your West Game G Low puzzle, Mike. I stared at it for weeks, then got it in a truly blinding "aha" moment. Sublime.

Posted by: Susy | May 1, 2008 8:38:22 PM

Thanks--I liked that one. :)

I also like how a couple of these upper levels are match-ups between puzzles of mine and Paula's. The other puzzle of mine in this section (the probability one) is quite akin to what I'll have to solve on my first actuarial exam in May...eeep. I'll have to throw some more of that in next year (so be on the lookout for covariance and joint density functions, haha)

Posted by: Mike | May 2, 2008 6:40:40 AM

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