fishyfriskybits

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I can't find a video about factorial notation so I'll just post my question here: 1) n!/n 2) (n-3)!/ (n-2)! 3) (n+1)!/(n-1)! 4) (3n)!/ (3n-2)! I understand how to do normal factorial notation with numbers only, but these variables confuse me. i thought the simplifying stops when you multiply all the way to 1 (ex. 5!= 5*4*3*2*1) In question 3 for example, it simplifies way past 1 and goes to (n+1)(n)(n-1)! / (n-1)! Or maybe why questions 2 simplifies the bottom only also going past one but not simplifying the numerator. Why does question 1 also go past the limit of just multiplying until you reach one? I'm really confused!

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