(n) distinct objects को (2) non-empty unlabelled groups में बांटने की संख्या कौन-सी है?
What is the number of ways to divide (n) distinct objects into (2) non-empty unlabelled groups?
Explanation opens after your attempt
Correct Answer
A. \(\frac{2^n-2}{2}\)
Concept
In the labelled count, interchanging the two groups counts each division twice. In exams divide by (2) for two unlabelled groups.
Why this answer is correct
The correct answer is A. \(\frac{2^n-2}{2}\). In the labelled count, interchanging the two groups counts each division twice. In exams divide by (2) for two unlabelled groups.
Exam Tip
Labelled count में दोनों groups की अदला-बदली दो बार गिनती है। परीक्षा में unlabelled दो groups के लिए (2) से divide करें।
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