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Let $$L = \left\{\omega \epsilon (0+1)*| \omega \right\}$$ has even number of 1s, i.e. L is the set of all bit strings with even number of 1s. Which one of the regular expression below represents L?
(0*10*1)*
0*(10*10*)*
0*(10*1*)*0*
0*1(10*1)*10*
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