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by Chris Burke

952: Pascals Triangle
for a random comic 
The _{14}C_{3} gifts of Christmas? This occurred to me a while ago, but after Christmas, and I decided that it couldn't wait until December. (And I'd likely forget about it.) While coming up with mathematical formulas and computer code for calculating this number, I overlooked a a very reliable reference tool: Pascal's Triangle. It has more uses than simply expanding polynomials because of its many properties. Some of these properties are as follows:
What this means is that for any given day in that song (The Twelve Days of Christmas):
Applying this to the 12th day of the song:
And I could've been finished a whole lot sooner. But I wouldn't have gotten a recursive comic out of that. One last thing: Did you ever try to make a poster of Pascal's Triangle? Have your students tried to do it for a math fair? The numbers start to get really big in the middle, really fast. (That's a post for another day.) But that's also why the poster in this comic is so large! Otherwise, it wouldn't be readable (and I had to modify the "364" so you could find it easily!). (You can also go there to leave comments!) 
for a random comic 
^{DEC}  Jan 2015  ^{FEB}  
28  29  30  31  1  2  3  
4  5  6  7  8  9  10  
11  12  13  14  15  16  17  
18  19  20  21  22  23  24  
25  26  27  28  29  30  31  
1  2  3  4  5  6  7 
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