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

(8) people को row में arrange करना है और (A) और (B) together न हों। Count का formula कौन-सा है?

Arrange (8) people in a row so that (A) and (B) are not together. Which formula gives the count?

Explanation opens after your attempt
Correct Answer

A. \(8!-7!\cdot2!\)

Step 1

Concept

Subtract block arrangements where (A) and (B) are together from total arrangements. In exams complement is easy for not-together permutations.

Step 2

Why this answer is correct

The correct answer is A. \(8!-7!\cdot2!\). Subtract block arrangements where (A) and (B) are together from total arrangements. In exams complement is easy for not-together permutations.

Step 3

Exam Tip

Total arrangements से (A) और (B) together block arrangements घटते हैं। परीक्षा में not together permutation में complement आसान है।

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(8) people को row में arrange करना है और (A) और (B) together न हों। Count का formula कौन-सा है? / Arrange (8) people in a row so that (A) and (B) are not together. Which formula gives the count?

Correct Answer: A. \(8!-7!\cdot2!\). Explanation: Total arrangements से (A) और (B) together block arrangements घटते हैं। परीक्षा में not together permutation में complement आसान है। / Subtract block arrangements where (A) and (B) are together from total arrangements. In exams complement is easy for not-together permutations.

Which concept should I revise for this Mathematics MCQ?

Subtract block arrangements where (A) and (B) are together from total arrangements. In exams complement is easy for not-together permutations.

What exam hint can help solve this Mathematics question?

Total arrangements से (A) और (B) together block arrangements घटते हैं। परीक्षा में not together permutation में complement आसान है।