6. A positive integer is called “Fantabulous” if there is another fantabulous positive integer smaller than it. Find the number of fantabulous integers.
Answer: Let x be the smallest Fantabulous number. Due to condition we know that it is a positive integer. The smallest positive integer is 1. So x=1. All other Fantabulous numbers will be valid if 1 is a valid Fantabulous number. But there is no smaller positive integers than 1. So 1=x can not be a Fantabulous number. So there are no valid Fantabulous numbers at all. Ans=0