4. Consider the set of all strings of a's, b's, c's and d's. (a) Make a list of all of these strings of length zero, one, and two that do not contain the pattern bb. (b) For each integer n > 0, let sn length n that do not contain the pattern bb. Find so, $1, and s2. = the number of strings of a's, b's, c's and d's of (c) Find a recurrence relation for the sequence so, S1, S2, ...

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.