((a+b+c)^n) में \(a^p b^q c^r\) का coefficient क्या है, यदि (p+q+r=n)?
What is the coefficient of \(a^p b^q c^r\) in ((a+b+c)^n), if (p+q+r=n)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{n!}{p!q!r!}\)
Concept
It is the multinomial count of choosing (a) from (p) brackets, (b) from (q), and (c) from (r). In exams treat multinomial coefficients like repeated arrangements.
Why this answer is correct
The correct answer is A. \(\frac{n!}{p!q!r!}\). It is the multinomial count of choosing (a) from (p) brackets, (b) from (q), and (c) from (r). In exams treat multinomial coefficients like repeated arrangements.
Exam Tip
(p) brackets से (a), (q) से (b), और (r) से (c) चुनने का multinomial count है। परीक्षा में multinomial coefficient को repeated arrangement जैसा समझें।
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