AP EAMCET · Maths · Permutation Combination
The number of ways in which 17 apples can be distributed among four guests such that each guest gets at least 3 apples is
- A 1140
- B 336
- C 36
- D 56
Answer & Solution
Correct Answer
(D) 56
Step-by-step Solution
Detailed explanation
Required number of ways \(=\) Coeff. of \(x^{17}\) in \(\left(x^3+x^4 \ldots\right)^4\) \(=\text { Coeff. of } x^5 \text { in }\left(1+x+x^2 \ldots\right)^4\) Coeff. of \(x^5\) in \((1-x)^{-4}={ }^8 \mathrm{C}_5=\frac{8 \times 7 \times 6}{3 \times 2 \times 1}=56\)
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