AP EAMCET · Maths · Permutation Combination
The number of ways of distributing 15 apples to three persons \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) such that A and C each get at least 2 apples and B gets at most 5 apples is
- A 57
- B 131
- C 156
- D 251
Answer & Solution
Correct Answer
(A) 57
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Required number of ways } \\ & \text { = Coeff of } x^{15} \text { in } \\ & \left(x^2+x^3+x^4+\ldots\right)^2\left(1+x+x^2+x^3+x^4+x^5\right) \\ & =\text { Coeff of } x^{11} \text { in }(1-x)^{-2}\left(1-x^6\right)(1-x)^{-1}-\text { Coeff of } \\ &…
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