(n) distinct objects में से कोई object छोड़े बिना उन्हें (2) non-empty labelled boxes में बांटने की संख्या क्या है?

What is the number of ways to distribute (n) distinct objects into (2) non-empty labelled boxes without leaving any object?

Explanation opens after your attempt
Correct Answer

A. \(2^n-2\)

Step 1

Concept

From total \(2^n\) assignments, the two all-in-one empty-box cases are invalid. In exams subtract empty cases separately for labelled boxes.

Step 2

Why this answer is correct

The correct answer is A. \(2^n-2\). From total \(2^n\) assignments, the two all-in-one empty-box cases are invalid. In exams subtract empty cases separately for labelled boxes.

Step 3

Exam Tip

Total \(2^n\) assignments में दोनों all-in-one empty-box cases invalid हैं। परीक्षा में labelled boxes हों तो empty cases अलग से घटाएं।

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(n) distinct objects में से कोई object छोड़े बिना उन्हें (2) non-empty labelled boxes में बांटने की संख्या क्या है? / What is the number of ways to distribute (n) distinct objects into (2) non-empty labelled boxes without leaving any object?

Correct Answer: A. \(2^n-2\). Explanation: Total \(2^n\) assignments में दोनों all-in-one empty-box cases invalid हैं। परीक्षा में labelled boxes हों तो empty cases अलग से घटाएं। / From total \(2^n\) assignments, the two all-in-one empty-box cases are invalid. In exams subtract empty cases separately for labelled boxes.

Which concept should I revise for this Mathematics MCQ?

From total \(2^n\) assignments, the two all-in-one empty-box cases are invalid. In exams subtract empty cases separately for labelled boxes.

What exam hint can help solve this Mathematics question?

Total \(2^n\) assignments में दोनों all-in-one empty-box cases invalid हैं। परीक्षा में labelled boxes हों तो empty cases अलग से घटाएं।