Option B.
8 bit hash => 256 values
On applying pigeon hole principle,
At least ceiling(k/n) pigeons on same hole...
Here , k=1000 (pigeons) & n=256 (pigeonholes)
We get, AT LEAST 4 INPUTS WOULD BE MAPPED TO THE SAME VALUE BY HASH FUNCTION H to each location.
In which 1000%256 = 232 values being mapped to some 232 locations (assuming they are uniformally distributed). i.e., 232 location will have minimum of 4 values and remaining 24 locations 3 values.