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GMAT MATH BOOK QUESTION

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Hi, I am reading the Math Book and taking notes.

I came across page 50 discussing the overlapping formulas and I came across this passage:

"Hence we need to subtract d,e, and f once (to count section g once) and subtract section g twice (again to count section g only once)

MY QUESTION : what exactly is the relation of d,e,and f to g? Also if we have already done the procedure to count section G only once, why do we have to do it again?

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