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How many strings of length less than 4 contains the language described by the regular expression (x+y)*y(a+ab)*?

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How many strings of length less than 4 contains the language described by the regular expression (x+y)*y(a+ab)*?

(a) 7

(b) 10

(c) 12

(d) 11

This question was posed to me during an online exam.

This intriguing question comes from Regular Grammar topic in division Contextfree Grammar and Syntax Analysis of Compiler

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Correct option is (d) 11

The explanation: String of length 0 = 1

string of length 1 = 4

string of length 2 = 3

string of length 3 = 3.

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