किस कारण से (n) वस्तुओं में से कम से कम एक वस्तु चुनने के तरीके \(2^n-1\) होते हैं?

Why are the ways to choose at least one object from (n) objects equal to \(2^n-1\)?

Explanation opens after your attempt
Correct Answer

D. क्योंकि कुल \(2^n\) selections में से खाली selection हटता हैBecause the empty selection is removed from total \(2^n\) selections

Step 1

Concept

All selections include the empty selection too. In exams subtract the empty case when at least one appears.

Step 2

Why this answer is correct

The correct answer is D. क्योंकि कुल \(2^n\) selections में से खाली selection हटता है / Because the empty selection is removed from total \(2^n\) selections. All selections include the empty selection too. In exams subtract the empty case when at least one appears.

Step 3

Exam Tip

सभी selections में खाली selection भी शामिल होता है। परीक्षा में at least one आने पर empty case घटाएँ।

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Mathematics Answer, Explanation and Revision Hints

किस कारण से (n) वस्तुओं में से कम से कम एक वस्तु चुनने के तरीके \(2^n-1\) होते हैं? / Why are the ways to choose at least one object from (n) objects equal to \(2^n-1\)?

Correct Answer: D. क्योंकि कुल \(2^n\) selections में से खाली selection हटता है / Because the empty selection is removed from total \(2^n\) selections. Explanation: सभी selections में खाली selection भी शामिल होता है। परीक्षा में at least one आने पर empty case घटाएँ। / All selections include the empty selection too. In exams subtract the empty case when at least one appears.

Which concept should I revise for this Mathematics MCQ?

All selections include the empty selection too. In exams subtract the empty case when at least one appears.

What exam hint can help solve this Mathematics question?

सभी selections में खाली selection भी शामिल होता है। परीक्षा में at least one आने पर empty case घटाएँ।