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AP EAMCET202420 May 2024Evening ShiftMathematicsPermutation and CombinationActual

The number of ways in which 17 apples can be distributed among four guests such that each guest gets at least 3 apples is

Options

  1. A1140
  2. B336
  3. C36
  4. D56

Correct answer

D. 56

Step-by-step solution

Required number of ways = Coeff. of x¹⁷ in (x^3+x^4 )^4= Coeff. of x^5 in (1+x+x^2 )^4 Coeff. of x^5 in (1-x)⁻⁴= ^8 C ₅= 8 7 6 3 2 1 =56

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