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October Surprise 2016

Simplify K!/ (K+1)! – Mathematics Stack Exchange

Pretend K=3 That means (K+1)= 4 This means you’d be dividing 3*2*1 by 4*3*2*1. Consider how you’d cancel out multiples by dividing them. Like how (2 (5+x))/2 would just equal 5+x. Following that idea we’d pretty much be able to cancel out every number in the numerator, so long as its also in the denominator. This would end up canceling every number except for 4 which equals (K+1). Essentially …