Select the correctly punctuated sentence.
a. the men's choice of television program didn't agree with the williams's or the childrens'.
b. the men's choice of television program didn't agree with the williams's or the children's.
c. the mens' choice of television program didn't agree with the williams's or the childrens'.
d. the men's choice of television program didn't agree with the william's or the children's.

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answer is personification

the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.