(12) विद्यार्थियों में से (5) की समिति और (7) का बाकी समूह बनाने की संख्या कौन-सी है?

What is the number of ways to make a committee of (5) and a remaining group of (7) from (12) students?

Explanation opens after your attempt
Correct Answer

A. \(^{12}C_5\)

Step 1

Concept

Once the committee of (5) is chosen the remaining (7) students are fixed. In exams use only one combination when the complement group is fixed automatically.

Step 2

Why this answer is correct

The correct answer is A. \(^{12}C_5\). Once the committee of (5) is chosen the remaining (7) students are fixed. In exams use only one combination when the complement group is fixed automatically.

Step 3

Exam Tip

(5) की समिति चुनते ही बाकी (7) विद्यार्थी तय हो जाते हैं। परीक्षा में complement group खुद तय हो तो केवल एक combination लगाएँ।

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Mathematics Answer, Explanation and Revision Hints

(12) विद्यार्थियों में से (5) की समिति और (7) का बाकी समूह बनाने की संख्या कौन-सी है? / What is the number of ways to make a committee of (5) and a remaining group of (7) from (12) students?

Correct Answer: A. \(^{12}C_5\). Explanation: (5) की समिति चुनते ही बाकी (7) विद्यार्थी तय हो जाते हैं। परीक्षा में complement group खुद तय हो तो केवल एक combination लगाएँ। / Once the committee of (5) is chosen the remaining (7) students are fixed. In exams use only one combination when the complement group is fixed automatically.

Which concept should I revise for this Mathematics MCQ?

Once the committee of (5) is chosen the remaining (7) students are fixed. In exams use only one combination when the complement group is fixed automatically.

What exam hint can help solve this Mathematics question?

(5) की समिति चुनते ही बाकी (7) विद्यार्थी तय हो जाते हैं। परीक्षा में complement group खुद तय हो तो केवल एक combination लगाएँ।