AP EAMCET · Maths · Binomial Theorem
The coefficient of \(x^3 y^4 z^5\) in the expansion of \((x y+y z+x z)^6\) is
- A 70
- B 60
- C 50
- D None of these
Answer & Solution
Correct Answer
(B) 60
Step-by-step Solution
Detailed explanation
We have \(\begin{aligned} (x y+y z+z x)^6 & =\sum_{r+s+t=6} \frac{6 !}{r ! s ! t !}(x y)^r(y z)^s(z x)^t \\ & =\sum_{r+s+t=6} \frac{6 !}{r ! s ! t !} x^{r+t} y^{r+s} z^{s+t} \end{aligned}\) If the general term in the above expansion. contains \(x^3 y^4 z^5\), then…
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