Digits (1,2,3,4,5,6,7) से repetition allowed (4)-digit numbers में exactly (2) positions पर even digits हों, तो count कौन-सी है?

Using digits (1,2,3,4,5,6,7) with repetition allowed, if exactly (2) positions contain even digits in a (4)-digit number, what is the count?

Explanation opens after your attempt
Correct Answer

A. \(^{4}C_2\cdot3^2\cdot4^2\)

Step 1

Concept

Choose the even positions, then each has (3) even choices and the rest have (4) odd choices. In exams choose positions first in exactly conditions.

Step 2

Why this answer is correct

The correct answer is A. \(^{4}C_2\cdot3^2\cdot4^2\). Choose the even positions, then each has (3) even choices and the rest have (4) odd choices. In exams choose positions first in exactly conditions.

Step 3

Exam Tip

Even positions चुनें, उन पर (3) even choices और बाकी पर (4) odd choices हैं। परीक्षा में exactly condition में positions first चुनें।

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Digits (1,2,3,4,5,6,7) से repetition allowed (4)-digit numbers में exactly (2) positions पर even digits हों, तो count कौन-सी है? / Using digits (1,2,3,4,5,6,7) with repetition allowed, if exactly (2) positions contain even digits in a (4)-digit number, what is the count?

Correct Answer: A. \(^{4}C_2\cdot3^2\cdot4^2\). Explanation: Even positions चुनें, उन पर (3) even choices और बाकी पर (4) odd choices हैं। परीक्षा में exactly condition में positions first चुनें। / Choose the even positions, then each has (3) even choices and the rest have (4) odd choices. In exams choose positions first in exactly conditions.

Which concept should I revise for this Mathematics MCQ?

Choose the even positions, then each has (3) even choices and the rest have (4) odd choices. In exams choose positions first in exactly conditions.

What exam hint can help solve this Mathematics question?

Even positions चुनें, उन पर (3) even choices और बाकी पर (4) odd choices हैं। परीक्षा में exactly condition में positions first चुनें।