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Peanuts: New math

Description

Peppermint Patty is reading a math problem out loud.

"A library shelf contains seven books.

"Three books are math books and four books are science books.

"Problem: In how many ways may the books be arranged on the shelf so that all the math books will be together?"

She puts the book back on the desk and shouts, "DEFENSE!!! DEFENSE!!!"


Sources

Charles M. Schulz, Peanuts 1974. (Reprinted 4 May 2000)

Peanuts can be found at http://www.peanuts.com/.


Comments

Hmmmm.... Let's see. I'm coming up with five possible answers to that problem.....

If the order of the books does not matter (aside from keeping the 3 math books together), then this is a combination problem, and there are 5 possible combinations. (5!/4!)

If the order of the books does matter, then this is a permutation problem, and there are 720 possible permutations. (5!*3!)

In a library, though, the science books should also be collocated. This changes things.

There are 2 combinations (2!) and 288 permutations (2!*4!*3!)

However, none of these take shelflist order into account. Since a misshelved book is a lost book, there is 1 correct arrangement. (And, if the 3 math books are kept together, there are 719 incorrect arrangements. If the math books get interfiled, there are 5039 incorrect arrangements.)

Now, I don't understand the last panel.... Judging from the emphasis on the the first syllable, I would say that this is the sportscaster pronunciation of "defense." Aside from that, I can't figure it out. (I can't even identify the game - hockey, perhaps?)

So if any mathematicians want to correct my factorials, or if anyone would care to explain the punchline to me, write to me at dplourde@ix.netcom.com.


URL: http://www.netcom.com/~dplourde/cartoons/peanuts01.html
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Cartoon Bibliography Changes last made on: 19 October 2000.
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