Difference between revisions of "Pascal's Bomb"
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==Example== | ==Example== | ||
| − | Suppose that MathHayden has 69 apples. He needs to distribute them among 2 of his | + | Suppose that MathHayden has <math>69</math> apples. He needs to distribute them among <math>2</math> of his very distinguished friends(not including himself). Each friend must get at least <math>14</math> apples. How many <math>Possible</math> distributions are there? |
==Solution== | ==Solution== | ||
By applying the Pascal's Bomb, we Munkey it and get an answer of <math>\boxed{43}</math>. | By applying the Pascal's Bomb, we Munkey it and get an answer of <math>\boxed{43}</math>. | ||
Revision as of 20:10, 22 November 2020
Pascal's Bomb(introduction)
Pascal's Bomb is a (not)widely known theorem, applying it will solve almost every problem. However, the concept is quite hard to grasp, yet it is very important.
Discovery
In the year 69, Munkey man first developed the idea. It was then sent to Gmaas for review, approved by Gmaas, and became published.
Forgotten by the year 696, it was later re-discovered. In the year 4269, bestzack66 got on FTW and said "Pascal's" and MathHayden said "Bomb". Thus, it became a real theorem.
Later on, bestzack66 and MathHayden contributed to mankind by re-publishing the theorem, this time onto the AoPS wiki. It is now here for all AoPS users to learn from.
Diagram
Explanation
Pascal's Bomb begins with 69. It becomes infinitely large, although many people believe that it ends with 8947. Pascal's Bomb is a series of Munkeys. To apply this, you can use Complete the Circle or the Buadratic Bormula. After you have substituted for one of the variables, you can proceed to solve, using Inches or Watts. This is applicable on all Maff problems.
Example
Suppose that MathHayden has 
apples. He needs to distribute them among 
of his very distinguished friends(not including himself). Each friend must get at least 
apples. How many 
distributions are there?
Solution
By applying the Pascal's Bomb, we Munkey it and get an answer of 
.
