To solve for this problem, we have to understand PERMUTATION. It is different from combination since in Permutation , the order of the numbers matter and repetition is not allowed. The formula for permutation is:
[tex]P(n,r)=\frac{n!}{(n-r)!}[/tex]In this problem the value of n is 50 since there are 50 numbers from 0 to 49 and the value of r is 3 since it requires 3-digit combinations. Thus,
[tex]P(50,3)=\frac{50!}{(50-3)!}=\frac{50!}{47!}=117,600[/tex]Answer: There are 117
