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Pascal's Triangle

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In my workshop, Prove It or Lose It, we have been working on what combinations are and what the Pascals's Triangle is. We have been working on finding different ways to go from point A to point B. We learned about the equation on how to tell if the triangle equals each other.  A combination is something that deals with letters or numbers, and you can find a different ways to mix the letters or numbers, so that each letter/ number ends up in a different place each time. For example, if we use the word CAT. I can make 6 different words from this 3 letter word. I figured this out because I used a math term called Factorials. Factorials are when you take a number and put an exclaimation mark next to it. That basically means that you are taking this numer and multiplying it by each number that is smaller than this number. For example, 9!= 9x8x7x6x5x4x3x2x1. This is what factorials and combinations looks like.  This is an example of using a three letter word and using factorial...