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AP EAMCET202022 Sep 2020Morning ShiftMathematicsBinomial TheoremActual

If the 6 th term in ( 2 p 3 + 3 q 2 )^9 is " a p^b q^ c , then a, b and c respectively are

Options

  1. A189,5,4
  2. B189,4,5
  3. C212,4,5
  4. D212,5,4

Correct answer

B. 189,4,5

Step-by-step solution

The sixth term in the expansion ( 2 p 3 + 3 q 2 )^9 is aligned T₆ & =T_ 5+1 = ^9 C₅ ( 2 p 3 )^4 ( 3 q 2 )^5 & = 9 8 7 6 4 3 2 ( 2 3 )^4 ( 3 2 )^5 p^4 q^5 & =189 p^4 q^5=a p^b q^c aligned (given) On comparing, we get a=189, b=4 and c=5

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