Regular Expressions I

Let R be the language described by the following regular expression:

(a|b)*(c|d)e?f+

How many of the following strings are NOT members of R ?

abc, aabbd, df, abbcdf, abdef, bbacf, 
abbbbbbdef, aabbcef, abbceef, abababcf, 
abcdf, f, ef, def, be, abe, acef


The answer is 9.

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1 solution

(a|b)*(c|d)e?f+ describes a language where the strings follow the following pattern: (0 or more a's and b's) followed by (1 c or 1d) followed by (0 e's or 1 e) followed by (1 or more f's).

The 9 strings in bold are not members of R :

abc , aabbd , df, abbcdf , abdef, bbacf, abbbbbbdef, aabbcef, abbceef , abababcf, abcdf , f , ef , def, be , abe , acef

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