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
- A1140
- B336
- C36
- 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