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alternating MCQ Questions for Class 11

alternating 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 alternating.

Question 1/2 Hard Mathematics Permutations and Combinations Permutations Class 11 Level 58

(5) पुरुष और (5) महिलाएं गोल मेज पर वैकल्पिक रूप से कितने तरीकों से बैठ सकते हैं?

In how many ways can (5) men and (5) women be seated alternately around a circular table?

Explanation opens after your attempt
Correct Answer

A. (2880)

Step 1

Concept

First seat the men around the circle in ((5-1)!) ways and then place the women in gaps in (5!) ways. The total is \(4!\cdot5!=2880\).

Step 2

Why this answer is correct

The correct answer is A. (2880). First seat the men around the circle in ((5-1)!) ways and then place the women in gaps in (5!) ways. The total is \(4!\cdot5!=2880\).

Step 3

Exam Tip

पहले पुरुषों को गोल में ((5-1)!) तरीकों से बैठाएं और फिर महिलाओं को (5!) तरीकों से gaps में रखें। कुल \(4!\cdot5!=2880\) है।

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Question 2/2 Expert Mathematics Permutations and Combinations Fundamental principle of counting Class 11 Level 52

(5) लड़कों और (5) लड़कियों को पंक्ति में इस प्रकार बैठाना है कि लिंग बारी-बारी से आए। कुल कितनी व्यवस्थाएँ होंगी?

(5) boys and (5) girls are to be seated in a row so that genders alternate. How many arrangements are possible?

Explanation opens after your attempt
Correct Answer

C. (28800)

Step 1

Concept

There are two possible patterns, starting with a boy or starting with a girl. In each pattern, boys and girls are arranged separately in (5!) ways.

Step 2

Why this answer is correct

The correct answer is C. (28800). There are two possible patterns, starting with a boy or starting with a girl. In each pattern, boys and girls are arranged separately in (5!) ways.

Step 3

Exam Tip

दो संभावित ढाँचे हैं, लड़का-लड़की से शुरू या लड़की-लड़का से शुरू। प्रत्येक ढाँचे में लड़के और लड़कियाँ अलग-अलग (5!) तरीकों से सजते हैं।

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