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TS EAMCET · Maths · Binomial Theorem

C534+r=04C4(38-r)=

  1. A C422×39
  2. B C439
  3. C C43×39
  4. D C539
Verified Solution

Answer & Solution

Correct Answer

(D) C539

Step-by-step Solution

Detailed explanation

C534+∑r=04C4(38-r) =C534+C438+C437+C436+C435+C434 =C534+C434+C438+C437+C436+C435 Now we know that Crn+Cr-1n=Crn+1 =C535+C435+C436+C437+C438 =C535+C435+C436+C437+C438 =C537+C437+C438 =C538+C438 =C539