WBJEE · Maths · Binomial Theorem
The coefficient of \(a^{10} b^7 c^3\) in the expansion of \((b c+c a+a b)^{10}\) is
- A 140
- B 150
- C 120
- D 160
Answer & Solution
Correct Answer
(C) 120
Step-by-step Solution
Detailed explanation
Hint : \((b c+c a+a b)^{10}=\sum \frac{10}{\left\lfloor n_1\right\lfloor n_2 \lfloor n_3}(b c)^{n_1}(c a)^{n_2}(a b)^{n_3}=\sum \frac{10}{\left\lfloor n_1\right \lfloor n_2 \lfloor n_3} b^{n_1+n_3} c^{n_1+n_2} a^{n_2+n_3}\)…
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