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The worst of them is solving 0!

0!=1

why? i asked my math teacher and he worte the following (which indeed makes sense)

5!=5*

**4*3*2*1**or 5!=5*4!

so 4!=4*3!

3!=3*2!

2!=2*1!

1!=1*0!

but this is where it lost me. 1! should simply be 1, not 1*0! maybe i'm worng. aniway, let's take a look at 0!

0!= all the natural numbers larger than zero (5! = 5*4*3*2*1...all of them larger than zero) but also no bigger than zero. (5*4*3*2*1 has no 6 in it.)

So...let's see...0!=0*Whatever is larger than zero and smaller (or equal) than zero at the same time.

so 0!=0*all natural numbers that belong to (0,0]. that makes the smallest allowed value bigger than the largest. I can't picture a REAL such a number. Let's call the whatever number W. So...0!=0*W

Not only we have a number in that bizzare scenario with a min > max, but it is also multiplied with zero. LAst time i multiplied something by zero it did not turn out to equal one.

so...any good reason why 0!=1?

plz...have mercy, i'm only in calc 1. no crazy explanations that i can't even begin to understand.

Thank you.

~Robokapp