JEE Maths
Permutations and Combinations
Sometimes we come up with scenarios where the objects are no distinct. For example, Let’s take few green , blue, red & grey books. Now we have to find the number of ways we can arrange them.
Theorem 3:
The number of permutations of n objects, where p1 objects are of one kind, p2 are of second kind, ..., pk are of kth kind and the rest, if any, are of different kind is 
Numerical:
Find the number of 9 letters word that can be formed using letters of ALLAHABAD.
Solution:
Let’s solve logically first. Assume the repeated words to be different. Let ALLAHABAD be
A1L1L2A2HA3BA4D
Assume 9 buckets & each of these buckets has 9,8,7,6,5,4,3,2,1 choice. So total number of 9 letters word formed is 9*8*7*6*5*4*3*2*1 = 362880
But out of these words few words will be same as the there are repeated letters in ALLAHABAD.
A – 4 times, L 2 times. Thus we have to ignore these repeated words. This can be done by dividing the solution by 4! & 2!.
Thus number of 9 letters word formed using letters of ALLAHABAD is
=7560.
Now, let’s solve using formula.
Number of 9 letters word formed using letters of 
= 7560
In some cases, we need to fix some of the objects are certain positions while finding the permutation. For example if we have to arrange 5 students in 4 seats with a condition that 1st seat is always occupied by a particular Student.
JEE Maths Permutations and Combinations NCERT Chapter 7 Free Notes for Best Revision
Revision of JEE Maths Permutations and Combinations is a crucial aspect of effective learning. Revision plays a vital role in the learning process and is especially important before exams. Here are some key points you can consider emphasizing in your content:
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- Spacing Effect: Spacing out revision sessions over time, rather than cramming all at once, has been shown to improve long-term retention. Create a revision schedule leading up to the exams to allow for spaced practice.
- Regular Revision over Cramming: Regular and consistent revision throughout the academic year is very important. Waiting until the last moment to cram everything can be overwhelming and less effective than spaced-out revision.
- Self-Assessment: Assess your understanding periodically through quizzes or self-tests. This helps you to gauge your progress and identify areas that need further attention. Refer JEE Permutations and Combinations Online Tests.
- Balanced Approach: Remind students to strike a balance between revision and other activities. Adequate rest, exercise, and relaxation are essential for optimal learning and performance.
- Seeking Help: If you face difficulties during the revision process, Refer the videos of JEE Maths Permutations and Combinations. Clearing doubts promptly is crucial for a better grasp of the subject matter. You can always ask your doubts on Permutations and Combinations JEE Maths NCERT Chapter 7. “Ask a Question” section of LearnoHub.com
By highlighting the benefits and strategies of effective revision, you can approach your studies more mindfully and achieve better results in your exams. Best of luck bachhon!
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Remember, studying with full concentration is a skill that takes time and practice to develop. If you find your mind wandering during study sessions, gently bring your focus back to the task at hand and be patient with yourself. With consistent effort, you can improve your ability to concentrate and make the most of your study time.
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