An ice cream shop needs to prepare at least $n$ buckets of different flavors of ice cream to satisfy the advertisement claim that ``the number of combinations of selecting two scoops of different flavors exceeds 100 types.'' How many ways can a customer select two scoops (which may be the same flavor) from $n$ buckets?\\
(1) 101\\
(2) 105\\
(3) 115\\
(4) 120\\
(5) 225