(n) identical balls को (r) distinct boxes में हर box non-empty हो तो formula कैसे बदलता है?

How does the formula change if (n) identical balls are distributed into (r) distinct boxes with every box non-empty?

Explanation opens after your attempt
Correct Answer

A. \({}^{n-1}C_{r-1}\)

Step 1

Concept

Give (1) ball to each box first, then distribute the remaining (n-r) balls. In exams allot the minimum first for non-empty conditions.

Step 2

Why this answer is correct

The correct answer is A. \({}^{n-1}C_{r-1}\). Give (1) ball to each box first, then distribute the remaining (n-r) balls. In exams allot the minimum first for non-empty conditions.

Step 3

Exam Tip

हर box को पहले (1) ball दें, फिर बाकी (n-r) balls distribute करें। परीक्षा में non-empty condition में पहले minimum allot करें।

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Mathematics Answer, Explanation and Revision Hints

(n) identical balls को (r) distinct boxes में हर box non-empty हो तो formula कैसे बदलता है? / How does the formula change if (n) identical balls are distributed into (r) distinct boxes with every box non-empty?

Correct Answer: A. \({}^{n-1}C_{r-1}\). Explanation: हर box को पहले (1) ball दें, फिर बाकी (n-r) balls distribute करें। परीक्षा में non-empty condition में पहले minimum allot करें। / Give (1) ball to each box first, then distribute the remaining (n-r) balls. In exams allot the minimum first for non-empty conditions.

Which concept should I revise for this Mathematics MCQ?

Give (1) ball to each box first, then distribute the remaining (n-r) balls. In exams allot the minimum first for non-empty conditions.

What exam hint can help solve this Mathematics question?

हर box को पहले (1) ball दें, फिर बाकी (n-r) balls distribute करें। परीक्षा में non-empty condition में पहले minimum allot करें।