Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Medium Level 64

गोल मेज पर (8) लोगों को बैठाने और line में बैठाने के counts का ratio कौन-सा है?

What is the ratio of seating (8) people around a round table to seating them in a line?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{8}\)

Step 1

Concept

The circular count is (7!) and the linear count is (8!), so the ratio is \(\frac{7!}{8!}=\frac{1}{8}\). In exams rotations are removed in circular counting.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{8}\). The circular count is (7!) and the linear count is (8!), so the ratio is \(\frac{7!}{8!}=\frac{1}{8}\). In exams rotations are removed in circular counting.

Step 3

Exam Tip

Circular count (7!) और linear count (8!) है इसलिए ratio \(\frac{7!}{8!}=\frac{1}{8}\) है। परीक्षा में circular count में rotations हटते हैं।

Question me issue ya doubt hai?

Answer, explanation, typing mistake ya suggestion directly hamari team ko bhejein. 📱Helpline (Call / WhatsApp): +91 7272824365

Related Mathematics Questions

Check out these related questions:

  1. यदि \(\theta\) चतुर्थ चतुर्थांश में है और \(\cos \theta=\frac{8}{17}\), तो \(\tan \theta\) क्या होगा?
  2. यदि \(\sin x+\sin^2 x=0\), तो \(0\leq x<2\pi\) में कितने हल हैं?
  3. फलन (f(x)=\sin 2x+\sin 4x) का मूल आवर्त क्या है?
  4. \(5\sin x-12\cos x\) का अधिकतम मान क्या है?
  5. यदि \(\cos x=-\frac{1}{2}\), तो \(0\leq x<2\pi\) में (x) के मान कौन-से हैं?
  6. यदि \(\sin x=\frac{1}{2}\), तो \(0\leq x<2\pi\) में (x) के मान कौन-से हैं?
  7. \(\cos 3x\) का सही विस्तार कौन-सा है?
  8. \(\sin 3x\) का सही विस्तार कौन-सा है?
  9. यदि (x) तृतीय चतुर्थांश में है और \(\tan x=\frac{4}{3}\), तो \(\sin x\) क्या है?
  10. यदि (x) द्वितीय चतुर्थांश में है और \(\sin x=\frac{5}{13}\), तो \(\cos x\) क्या होगा?

Related Mathematics Learning Links

Mathematics Subject

Level-wise subject practice

Permutations and Combinations Quiz

Chapter-wise MCQ practice

Search Similar MCQs

Find related questions

Daily Challenge

Fresh quiz practice
FAQs

Mathematics Answer, Explanation and Revision Hints

गोल मेज पर (8) लोगों को बैठाने और line में बैठाने के counts का ratio कौन-सा है? / What is the ratio of seating (8) people around a round table to seating them in a line?

Correct Answer: A. \(\frac{1}{8}\). Explanation: Circular count (7!) और linear count (8!) है इसलिए ratio \(\frac{7!}{8!}=\frac{1}{8}\) है। परीक्षा में circular count में rotations हटते हैं। / The circular count is (7!) and the linear count is (8!), so the ratio is \(\frac{7!}{8!}=\frac{1}{8}\). In exams rotations are removed in circular counting.

Which concept should I revise for this Mathematics MCQ?

The circular count is (7!) and the linear count is (8!), so the ratio is \(\frac{7!}{8!}=\frac{1}{8}\). In exams rotations are removed in circular counting.

What exam hint can help solve this Mathematics question?

Circular count (7!) और linear count (8!) है इसलिए ratio \(\frac{7!}{8!}=\frac{1}{8}\) है। परीक्षा में circular count में rotations हटते हैं।