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

(10) books में से (4) books चुननी हैं लेकिन (2) fixed books साथ में या तो दोनों आएं या दोनों न आएं। Count कौन-सी है?

From (10) books, (4) books are to be selected, and (2) fixed books must either both appear or both not appear. What is the count?

Explanation opens after your attempt
Correct Answer

A. \(^{8}C_2+{}^{8}C_4\)

Step 1

Concept

Case (1): take both fixed books, case (2): take neither. In exams keep cases clear for paired restrictions.

Step 2

Why this answer is correct

The correct answer is A. \(^{8}C_2+{}^{8}C_4\). Case (1): take both fixed books, case (2): take neither. In exams keep cases clear for paired restrictions.

Step 3

Exam Tip

Case (1): दोनों fixed लें, case (2): दोनों fixed न लें। परीक्षा में paired restrictions में cases साफ रखें।

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(10) books में से (4) books चुननी हैं लेकिन (2) fixed books साथ में या तो दोनों आएं या दोनों न आएं। Count कौन-सी है? / From (10) books, (4) books are to be selected, and (2) fixed books must either both appear or both not appear. What is the count?

Correct Answer: A. \(^{8}C_2+{}^{8}C_4\). Explanation: Case (1): दोनों fixed लें, case (2): दोनों fixed न लें। परीक्षा में paired restrictions में cases साफ रखें। / Case (1): take both fixed books, case (2): take neither. In exams keep cases clear for paired restrictions.

Which concept should I revise for this Mathematics MCQ?

Case (1): take both fixed books, case (2): take neither. In exams keep cases clear for paired restrictions.

What exam hint can help solve this Mathematics question?

Case (1): दोनों fixed लें, case (2): दोनों fixed न लें। परीक्षा में paired restrictions में cases साफ रखें।