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adjacent MCQ Questions for Class 11

adjacent se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with adjacent.

Question 1/2 Hard Mathematics Permutations and Combinations Permutations Class 11 Level 60

(10) अलग अक्षरों में से (7) अक्षरों की व्यवस्थाएं बनानी हैं, जिनमें दो निश्चित अक्षर शामिल और साथ हों। कितनी व्यवस्थाएं हैं?

Arrangements of (7) letters are to be made from (10) distinct letters, and two specified letters must be included and adjacent. How many arrangements are possible?

Explanation opens after your attempt
Correct Answer

C. (80640)

Step 1

Concept

Treat the two specified letters as one block, choose (5) more letters from the remaining (8), and arrange (6) units. Include the (2!) internal orders of the block.

Step 2

Why this answer is correct

The correct answer is C. (80640). Treat the two specified letters as one block, choose (5) more letters from the remaining (8), and arrange (6) units. Include the (2!) internal orders of the block.

Step 3

Exam Tip

दो निश्चित अक्षरों को एक खंड मानें, शेष (8) में से (5) अक्षर चुनें और (6) इकाइयों को सजाएं। खंड के भीतर (2!) क्रम भी जोड़ें।

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Question 2/2 Hard Mathematics Permutations and Combinations Permutations Class 11 Level 59

कितनी (6)-अंकीय संख्याएं (1,2,3,4,5,6) से बिना पुनरावृत्ति बनेंगी जिनमें (1) और (2) साथ हों?

How many (6)-digit numbers can be formed from (1,2,3,4,5,6) without repetition if (1) and (2) are adjacent?

Explanation opens after your attempt
Correct Answer

C. (240)

Step 1

Concept

Treat (1) and (2) as a block, giving (5!) arrangements and (2!) internal orders. For adjacent digits, the block method is direct.

Step 2

Why this answer is correct

The correct answer is C. (240). Treat (1) and (2) as a block, giving (5!) arrangements and (2!) internal orders. For adjacent digits, the block method is direct.

Step 3

Exam Tip

(1) और (2) को खंड मानकर (5!) व्यवस्थाएं और खंड के भीतर (2!) क्रम हैं। साथ वाले अंकों में खंड विधि सीधी होती है।

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