x < 100, such that
n = 100·q + x. 3.a) To determine which sublist each account number is allocated to, you need to find
the remainder when the account number is divided by 100. For the account number n,
saying that n mod 100 = x is equivalent to saying that there are integers q
and x, with 0x < 100, such that
n = 100·q + x.
b) To decide if H is one-to-one recall that for a function to be one-to-one you cannot have two different elements in the domain going to the same element in the co-domain.