AP EAMCET201823 Apr 2018Evening ShiftMathematicsBinomial TheoremActual

34 10 +3 ( ³⁴ C₉ )+3 ( ³⁴ C_g )+ ³⁴ C₇=

Options

A³⁹ C ₁₀
B³⁶ C ₁₀
C³⁷ C ₁₀
D³⁵ C ₁₀

Correct answer

C. ³⁷ C ₁₀

Step-by-step solution

aligned 34 10 + & 3 ( ³⁴ C₉ )+3 ( ³⁴ C₈ )+ ³⁴ C₇ = & ( 34 10 + ³⁴ C₉ )+2 ( ³⁴ C₉ )+2 ( ³⁴ C₈ ) & + ( ³⁴ C₈+ ³⁴ C₇ ) = & 35 10 +2 ( ³⁵ C₉ )+ ³⁵ C₈ = & 35 10 + ³⁵ C₉+ ³⁵ C₉+ ³⁵ C₈ = & 36 10 + ³⁶ C₉= 37 10 aligned

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