Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Hard Level 65

(n) objects में से (r) चुनते समय कम से कम (1) special object हो और special objects (a) हों, तो shortest expression कौन-सा है?

When choosing (r) objects from (n), if at least (1) special object is required and there are (a) special objects, what is the shortest expression?

Explanation opens after your attempt
Correct Answer

B. \(^{n}C_r-{}^{n-a}C_r\)

Step 1

Concept

The complement of at least one special is no special. In exams total minus none is fast for at least conditions.

Step 2

Why this answer is correct

The correct answer is B. \(^{n}C_r-{}^{n-a}C_r\). The complement of at least one special is no special. In exams total minus none is fast for at least conditions.

Step 3

Exam Tip

At least one special का complement no special है। परीक्षा में at least के लिए total minus none तेज होता है।

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(n) objects में से (r) चुनते समय कम से कम (1) special object हो और special objects (a) हों, तो shortest expression कौन-सा है? / When choosing (r) objects from (n), if at least (1) special object is required and there are (a) special objects, what is the shortest expression?

Correct Answer: B. \(^{n}C_r-{}^{n-a}C_r\). Explanation: At least one special का complement no special है। परीक्षा में at least के लिए total minus none तेज होता है। / The complement of at least one special is no special. In exams total minus none is fast for at least conditions.

Which concept should I revise for this Mathematics MCQ?

The complement of at least one special is no special. In exams total minus none is fast for at least conditions.

What exam hint can help solve this Mathematics question?

At least one special का complement no special है। परीक्षा में at least के लिए total minus none तेज होता है।