THIS QUESTION MUST BE ANSWERED WITH CLEAR ENGLISH PSEUDOCODE!

We say that a sequence of Roman letters A occurs as a subsequence of a sequence of Roman letters B if we can obtain A by deleting some of the symbols of B. Design an algorithm which for every two sequences A and B gives the number of different occurrences of A in B, i.e., the number of ways one can delete some of the symbols of B to get A. For example, the sequence ba has three occurrences in the sequence baba: baba, baba, baba