Daily Practice Problems undefined Permutations and Combinations

Question 1:

From 6 gentlemen and 4 ladies a committee of five members is to be selected. The number of ways in which the committee can be formed so that the ladies are in majority is [Level: Moderate]

(a) 60

(b) 156

(d) None of these

Question 2:

Find the number of ways in which 5 girls and 5 boys can be arranged in a row, if no two girls are together. [Level: Moderate]

(a)

(b) 5!

(c)

(d) 5!

Question 3:

What is the rank of the word INDIA if all the letters are arranged as in an English Dictionary? [Level: Difficult]

(a) 69

(b) 70

(d) 46

Question 4:

10 persons were invited to a party. In how many ways can they and the host be seated at a circular table? [Level: Moderate]

(a) 10!

(b) 11!

(d) 9!

Question 5:

There are 15 volleyball players in a college, out of which a team of 9 players is to be formed. If the captain always remains the same, in how many ways can the team be formed? [Level: Easy]

(a)

(b)

(c)

(d)

Question 6:

If + 2 + , then the number of values of r are [Level: Easy]

(a) 5

(b) 6

(d) 8

Question 7:

How many 4 letter words can be formed from the letters of the word CALCUTTA? [Level: Difficult]

(a) 288

(b) 96

(d) None of these

Question 8:

The number of proper divisors of . , a, b, c N, is [Level: Moderate]

(a)

(b) – 2

(c)

(d) – 2

Question 9:

The number of four digit numbers that can be formed with only even digits without repetition, is __________ . [Level: Easy]

Question 10:

In how many ways the letters of the word ADESH can be placed in the squares of the adjoining figure so that no row remains empty? [Level: Difficult]

(a) 81

(b) 81× 5!

(d) 27× 5!

Question 11:

The exponent of 7 in is ___________ . [Level: Moderate]

Question 12:

A box contains 3 white balls, 2 red balls and 4 black balls. The number of ways in which three balls can be drawn from the box if at least one red ball is always present in the draw and balls of same colour are also distinct, is __________ . [Level: Moderate]

Question 13:

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S’s are adjacent?

(a) 6.7

(b) 6.8

(d) 8

Question 14:

Let < < < < be positive integers such that n1 +n2 +n3 +n4 +n5 = 20, the number of such distinct arrangements ( , , , , ) is __________ .

Question 15:

What is the sum of all the 4 digit numbers formed using the digits 2, 4, 6, 8 without repeating any digits? [Level: Moderate]

(a) 5,33,280

(b) 13,320

(d) None of these

Question 16:

A person writes letters to six friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that all the letters are in the wrong envelopes? [Level: Moderate]

(a) 720

(b) 360

(d) 180

Question 17:

The number of natural numbers which are less than 2. and which can be written by means of the digits 1 and 2. [Level: Difficult]

(a) 766

(b) 870

(d) 772

Question 18:

If = , then r= equals [Level: Easy]

(a) (n - 1)

(b) n

(c)

(d) none of these

Question 19:

Assuming the balls to be identical except for the difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls. [Level: Easy]

(a) 630

(b) 879

(d) 629

Question 20:

If = 36, = 84 and = 126, then the values of n and r respectively are [Level: Moderate]

(a) 10, 2

(b) 9, 3

(d) 7, 2

**********

Problem-solving on JEE Maths Permutations and Combinations NCERT Chapter 7 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Maths Permutations and Combinations you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Maths Permutations and Combinations NCERT Chapter 7, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Permutations and Combinations JEE Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Permutations and Combinations JEE Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Permutations and Combinations. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Permutations and Combinations JEE Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Permutations and Combinations JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Maths Permutations and Combinations NCERT Chapter 7

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Permutations and Combinations NCERT Chapter 7 useful.

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