100 or 110

if only first name - 10
If both first name and middle name - 10*9 (=90)
total 100
IMO B

cans wrote:if only first name - 10
If both first name and middle name - 10*9 (=90)
total 100
IMO B

I will also go with 100 with the same reasoning.

I too will go with B.

The only reason why I am writing this post is in case you were interested in an alternative solution.

___ ___ . These are the two blanks for the first and the middle name. First blank can be filled in 10 ways. Second blank can be filled in 10+1-1=10 ways. +1 as the middle name can be filled by "0 ways"(as the middle name can be left empty) while -1 indicates the name which has already been used to fill the First blank and we cant use the same name again.

Therefore, 10 * 10 = 100.