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Differentiation to Solve Modified Sum of Binomial Coefficients

Replace the ?...

Question

Replace the ? with appropriate alphabet group to complete the given series.
ABP, CDQ, EFR?

A

GHS

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B

HGS

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C

GHR

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D

GHT

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Solution

The correct option is A GHS
1st and 2nd letter of each term differ by 2 whereas 3rd letter differs by one alphabet compare to the previous one.
So, missing term $=$ (E+2)(F+2)(R+1) $=$ GHS.
Hence GHS replaces question mark.

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