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If coefficient of x squared y cubed z to the power of 4 in left parenthesis x plus y plus z right parenthesis to the power of n is, A then coefficient of x to the power of 4 y to the power of 4 z is

  1. 2 A    
  2. fraction numerator n A over denominator 2 end fraction    
  3. fraction numerator A over denominator 2 end fraction    
  4. A    

The correct answer is: fraction numerator A over denominator 2 end fraction


    Given coeff x to the power of 2 end exponent y to the power of 3 end exponent z to the power of 4 end exponent in left parenthesis x plus y plus z right parenthesis to the power of n end exponent is A & A equals fraction numerator 9 factorial over denominator 2 factorial 3 factorial 4 factorial end fraction equals 1260
    rightwards double arrow n equals 9
    Coeff x to the power of 4 end exponent y to the power of 4 end exponent z to the power of 1 end exponent is fraction numerator 9 factorial over denominator 4 factorial 4 factorial 1 factorial end fraction equals 630 equals fraction numerator A over denominator 2 end fraction

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