Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Expert Level 64

((x+y+z)8) में \(x^3y^2z^3\) का coefficient कौन-सा है?

What is the coefficient of \(x^3y^2z^3\) in ((x+y+z)8)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{8!}{3!2!3!}\)

Step 1

Concept

The exponents sum to (8), and the coefficient comes from the multinomial form. In exams treat powers as group sizes.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{8!}{3!2!3!}\). The exponents sum to (8), and the coefficient comes from the multinomial form. In exams treat powers as group sizes.

Step 3

Exam Tip

Exponents का sum (8) है और coefficient multinomial form से मिलता है। परीक्षा में powers को group sizes मानें।

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((x+y+z)8) में \(x^3y^2z^3\) का coefficient कौन-सा है? / What is the coefficient of \(x^3y^2z^3\) in ((x+y+z)8)?

Correct Answer: A. \(\frac{8!}{3!2!3!}\). Explanation: Exponents का sum (8) है और coefficient multinomial form से मिलता है। परीक्षा में powers को group sizes मानें। / The exponents sum to (8), and the coefficient comes from the multinomial form. In exams treat powers as group sizes.

Which concept should I revise for this Mathematics MCQ?

The exponents sum to (8), and the coefficient comes from the multinomial form. In exams treat powers as group sizes.

What exam hint can help solve this Mathematics question?

Exponents का sum (8) है और coefficient multinomial form से मिलता है। परीक्षा में powers को group sizes मानें।