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3. (10 points) Let T = {A, B,C), and let tn be the number of T-strings of length n which do not contain AA or BA as substring

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ut & be a Posbring of length in which do not contain AA or BA as substrings If = xpl... Kust then we have following case-I; Iret the generating bruction corresponding In be TX) - 2 tnxn. no 3 n tnx t. T(X) = tot t x + t₂x² tnx XTCX) = Ex + 4x²7 tz x²

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3. (10 points) Let T = {A, B,C), and let tn be the number of T-strings...
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