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AP EAMCET202315 May 2023Evening ShiftMathematicsBinomial TheoremActual

The number of non-negative integral solutions of x ₁+ x ₂+ x ₃+ x ₄=10 is

Options

  1. A120
  2. B144
  3. C256
  4. D286

Correct answer

D. 286

Step-by-step solution

Given x₁+x₂+x₃+x₄=10 Now non-negative solution aligned & = 10+4-1 4-1 & = ¹³ C₃= 13 12 11 3 2 =286 aligned

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