What is the difference between largest number with no repetition and smallest number with no repetition?

Answer 1

The largest number with no repetition of digits (if that is what is meant) is 9876543210. The "smallest" number with no repetition is the negative of that if we allow negative numbers so the difference is zero. If by "smallest" we mean non-negative number, the smallest number with no repetition is 0 so the difference is the original number, 9876543210. If by "smallest" we mean smallest positive number, the smallest positive number without repeating digits is .01, so the difference is 9876543209.99. The unambiguous way to write a number smaller than 1 is to prefix it with "0." To be extremely precise, if by "no repetition" you mean to require that form and to exclude 0.01 because there are two zeros, then the smallest positive number "without repetition" is 0.1 and the difference is 9876543209.9. Everything depends on exactly what is meant by the question. It is important to avoid ambiguity in mathematics - and in everything else.