(n) distinct objects को (3) distinct boxes में onto distribute करने की संख्या क्या है?

What is the number of onto distributions of (n) distinct objects into (3) distinct boxes?

Explanation opens after your attempt
Correct Answer

A. \(3^n-3\cdot2^n+3\)

Step 1

Concept

Three empty-box choices are subtracted, then over-subtraction of two empty boxes is added. In exams apply inclusion-exclusion carefully for onto distribution.

Step 2

Why this answer is correct

The correct answer is A. \(3^n-3\cdot2^n+3\). Three empty-box choices are subtracted, then over-subtraction of two empty boxes is added. In exams apply inclusion-exclusion carefully for onto distribution.

Step 3

Exam Tip

तीन empty choices घटती हैं, फिर दो empty boxes के over-subtraction को जोड़ा जाता है। परीक्षा में onto distribution में inclusion-exclusion सावधानी से लगाएं।

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Mathematics Answer, Explanation and Revision Hints

(n) distinct objects को (3) distinct boxes में onto distribute करने की संख्या क्या है? / What is the number of onto distributions of (n) distinct objects into (3) distinct boxes?

Correct Answer: A. \(3^n-3\cdot2^n+3\). Explanation: तीन empty choices घटती हैं, फिर दो empty boxes के over-subtraction को जोड़ा जाता है। परीक्षा में onto distribution में inclusion-exclusion सावधानी से लगाएं। / Three empty-box choices are subtracted, then over-subtraction of two empty boxes is added. In exams apply inclusion-exclusion carefully for onto distribution.

Which concept should I revise for this Mathematics MCQ?

Three empty-box choices are subtracted, then over-subtraction of two empty boxes is added. In exams apply inclusion-exclusion carefully for onto distribution.

What exam hint can help solve this Mathematics question?

तीन empty choices घटती हैं, फिर दो empty boxes के over-subtraction को जोड़ा जाता है। परीक्षा में onto distribution में inclusion-exclusion सावधानी से लगाएं।