Copyright 11/24/2009 Justin M Coslor
Bear Wrestling, Ballroom Dancing, and Dating.
The Addition Chart Possibilities Tautology
applied to liesure activities.
Example:
Imagine there are eight contenders in a bear
wrestling arena such that four bears are
numbered 1, 2, 3, and 4, and four bear
wrestling lumberjacks are numbered 7, 6, 5,
and 4. The rules state that a bear must
always wrestle a lumberjack whom they have
not already wrestled, and no bear and no
lumberjack may wrestle more than once. Using
paired sums of the designated wrestling
numbers, how many wrestling matches could
take place such that the sum of their
wrestling numbers equals eight, and why is
that true?
(BEARS + LUMBERJACKS) / 2 = W possibilities.
1 + 7 = 1 possibility
2 + 6 = 1 possibility
3 + 5 = 1 possibility
4 + 4 = 1 possibility
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Therefore there are four possible wrestling
matches that can take place in the arena.
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QUIZ: (see example above)
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Imagine there are nine contenders in a
ballroom dancing competition rehersal, such
that there are four women labeled 1, 2, 3,
and 4; and such that there are four men
labeled 8, 7, 6, and 5. Now the rules state
that women must always dance with men and
that no man can dance with the same woman
twice. What possibilities are there for
couples for the ballroom dancing competition
rehersal? Does this problem differ from the
bear wrestling example? If so, then how?
Imagine that seven single lovely women and
seven well groomed single men want to go out
on a somewhat blind date and all are single.
For simplicity, the seven women are labeled
1, 2, 3, 4, 5, 6, 7; and the seven men are
labeled 13, 12, 11, 10, 9, 8, 7. How many
possibilities are there for women trading
labels with each other such that they may
have one somewhat enjoyable date with one
particular man per woman? Why is that?