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distinct chairs MCQ Questions for Class 11

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3 questions tagged with distinct chairs.

Question 1/3 Medium Mathematics Permutations and Combinations Permutations Class 11 Level 60

(7) विद्यार्थियों को (10) अलग-अलग कुर्सियों पर कितने तरीकों से बैठाया जा सकता है?

In how many ways can (7) students be seated on (10) distinct chairs?

Explanation opens after your attempt
Correct Answer

B. (604800)

Step 1

Concept

The chairs are distinct and (7) students are seated, so \(^{10}P_7=604800\). In exams, count ordered positions even when some chairs remain empty.

Step 2

Why this answer is correct

The correct answer is B. (604800). The chairs are distinct and (7) students are seated, so \(^{10}P_7=604800\). In exams, count ordered positions even when some chairs remain empty.

Step 3

Exam Tip

कुर्सियां अलग हैं और (7) विद्यार्थी बैठेंगे, इसलिए \(^{10}P_7=604800\)। परीक्षा में खाली कुर्सियां होने पर भी क्रमित स्थान गिनें।

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Question 2/3 Medium Mathematics Permutations and Combinations Permutations Class 11 Level 59

(6) विद्यार्थियों को (8) अलग-अलग कुर्सियों पर कितने तरीकों से बैठाया जा सकता है?

In how many ways can (6) students be seated on (8) distinct chairs?

Explanation opens after your attempt
Correct Answer

A. (20160)

Step 1

Concept

The chairs are distinct and (6) students are seated, so \(^{8}P_6=20160\). In exams, permutation may apply even when some places remain empty.

Step 2

Why this answer is correct

The correct answer is A. (20160). The chairs are distinct and (6) students are seated, so \(^{8}P_6=20160\). In exams, permutation may apply even when some places remain empty.

Step 3

Exam Tip

कुर्सियां अलग हैं और (6) विद्यार्थी बैठेंगे, इसलिए \(^{8}P_6=20160\)। परीक्षा में खाली स्थानों के बावजूद permutation लग सकता है।

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Question 3/3 Medium Mathematics Permutations and Combinations Permutations Class 11 Level 58

(6) अलग-अलग कुर्सियों पर (4) विद्यार्थियों को कितने तरीकों से बैठाया जा सकता है?

In how many ways can (4) students be seated on (6) distinct chairs?

Explanation opens after your attempt
Correct Answer

A. (360)

Step 1

Concept

The chairs are distinct and (4) students are seated, so \(^{6}P_4=360\). In exams, account for unused chairs carefully.

Step 2

Why this answer is correct

The correct answer is A. (360). The chairs are distinct and (4) students are seated, so \(^{6}P_4=360\). In exams, account for unused chairs carefully.

Step 3

Exam Tip

पहले कुर्सियां अलग हैं और (4) विद्यार्थी बैठेंगे, इसलिए \(^{6}P_4=360\)। परीक्षा में खाली कुर्सियों को भी ध्यान में रखें।

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