Troll Contest Submission

Algebra Level pending

Is 0 = 0 ! ? 0=0!?

Details and Assumptions

This problem is an entry to Troll king Contest .

No Who Cares? Yes Doesn't Matter!

Aryan Gaikwad by Aryan Gaikwad , 20, India

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3 solutions

Caleb Townsend
Mar 26, 2015

Does 0 = 0 ! ? 0 = 0!? The answer is no, \boxed{\text{no,}} because if you divide both sides by 0 , 0, you get the equation 1 = ! ? 1 = !? which is clearly false. Easy points.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Since n ! = ( n − 1 ) ! ⋅ n n!=\left( n-1 \right) !·n , it implies that 1 ! = ( 1 − 1 ) ! ⋅ 1 = 0 ! 1!=\left( 1-1 \right) !·1=0! . And 1 ! = 1 1!=1 ... It looks logical

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Saswata Saha
Mar 26, 2015

Whether or not 0! is actually 0,we, humans do not know. But 0! is conventionlly taken to be equals to one.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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