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

(n) distinct symbols से length (r) strings बनती हैं और exactly (s) distinct symbols use हों। सही count कौन-सा है?

Length (r) strings are formed from (n) distinct symbols and exactly (s) distinct symbols are used. Which count is correct?

Explanation opens after your attempt
Correct Answer

A. (^{n}C_s s! S(r,s))

Step 1

Concept

First choose (s) symbols, then map the (r) positions onto those (s) symbols. In exams use the onto idea for exactly distinct symbols.

Step 2

Why this answer is correct

The correct answer is A. (^{n}C_s s! S(r,s)). First choose (s) symbols, then map the (r) positions onto those (s) symbols. In exams use the onto idea for exactly distinct symbols.

Step 3

Exam Tip

पहले (s) symbols चुनें, फिर (r) positions को उन (s) symbols पर onto map करें। परीक्षा में exactly distinct symbols में onto idea उपयोग करें।

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(n) distinct symbols से length (r) strings बनती हैं और exactly (s) distinct symbols use हों। सही count कौन-सा है? / Length (r) strings are formed from (n) distinct symbols and exactly (s) distinct symbols are used. Which count is correct?

Correct Answer: A. (^{n}C_s s! S(r,s)). Explanation: पहले (s) symbols चुनें, फिर (r) positions को उन (s) symbols पर onto map करें। परीक्षा में exactly distinct symbols में onto idea उपयोग करें। / First choose (s) symbols, then map the (r) positions onto those (s) symbols. In exams use the onto idea for exactly distinct symbols.

Which concept should I revise for this Mathematics MCQ?

First choose (s) symbols, then map the (r) positions onto those (s) symbols. In exams use the onto idea for exactly distinct symbols.

What exam hint can help solve this Mathematics question?

पहले (s) symbols चुनें, फिर (r) positions को उन (s) symbols पर onto map करें। परीक्षा में exactly distinct symbols में onto idea उपयोग करें।