This given question is equivalent to distribution of 15 identical objects into 5 distinct boxes where each box contains at least one object.
Number of ways it can be done = number of positive integer solutions of
=> x1+x2+x3+x4+x5=15x1+x2+x3+x4+x5=15
=> (15-1)C4 = 14C4 = 1001
A is ans.