Class 11 Mathematics - Permutations And Combinations - Derivations of formulas and their connections Expert Quiz

Mathematics Permutations And Combinations Derivations of formulas and their connections Expert Class 11 Level 62

Level 62 • 2/50 questions • 25 seconds per question.

Level readiness 2/50 Questions
Time Left 00:50 25 sec/question
RewardsCoins + XP
ModeClassic Quiz
Previous Next Level
Share
This level needs 48 more active questions. Admin panel me same class, subject, difficulty aur level_no 62 par question add karein.
Question 1 / 2 0 score
Answered 0/2 Correct 0 Time 00:50
Question 1/2 Expert Mathematics Permutations and Combinations Combinations Class 11 Level 62

(9) अंकों \(1,2,\ldots,9\) में से (4) अंक चुनने हैं जिनका योग सम हो। कितने चयन हैं?

Choose (4) digits from \(1,2,\ldots,9\) such that their sum is even. How many selections are there?

Explanation opens after your attempt
Correct Answer

C. (64)

Step 1

Concept

For an even sum, the number of odd digits must be (0,2,4). Count \(^{4}C_{4}+^{5}C_{2}{}^{4}C_{2}+^{5}C_{4}=66\).

Step 2

Why this answer is correct

The correct answer is C. (64). For an even sum, the number of odd digits must be (0,2,4). Count \(^{4}C_{4}+^{5}C_{2}{}^{4}C_{2}+^{5}C_{4}=66\).

Step 3

Exam Tip

सम योग के लिए विषम अंकों की संख्या (0,2,4) होनी चाहिए। गणना \(^{4}C_{4}+^{5}C_{2}{}^{4}C_{2}+^{5}C_{4}=66\) है।

Open Question Page
Ask Friends
Question 2/2 Expert Mathematics Permutations and Combinations Combinations Class 11 Level 62

(1) से (12) तक की संख्याओं में से (3) संख्याएं चुननी हैं जिनका योग विषम हो। कितने चयन संभव हैं?

Choose (3) numbers from (1) to (12) such that their sum is odd. How many selections are possible?

Explanation opens after your attempt
Correct Answer

B. (110)

Step 1

Concept

There are (6) odd and (6) even numbers. For odd sum choose (1) or (3) odd numbers, giving \(^{6}C_{1}{}^{6}C_{2}+^{6}C_{3}=110\).

Step 2

Why this answer is correct

The correct answer is B. (110). There are (6) odd and (6) even numbers. For odd sum choose (1) or (3) odd numbers, giving \(^{6}C_{1}{}^{6}C_{2}+^{6}C_{3}=110\).

Step 3

Exam Tip

(6) विषम और (6) सम संख्याएं हैं। विषम योग के लिए (1) या (3) विषम चुनें, संख्या \(^{6}C_{1}{}^{6}C_{2}+^{6}C_{3}=110\)।

Open Question Page
Ask Friends

Mathematics Quiz Navigation

Mathematics Subject

All difficulty level maps

Derivations of formulas and their connections Topic

Topic question list

Permutations And Combinations Chapter

Chapter question list

Search Mathematics

Find related MCQs

All Subjects

Choose another subject
FAQs

Class 11 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 2 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 25 seconds per question for Expert difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.