RD Sharma Solutions Class 11 Maths Chapter 16 – To make your Class 11 Maths exam preparation easier, we have structured this blog for you where you will come across the essential aspects of RD Sharma Solutions Class 11 Maths Chapter 16 – Permutations. Get the exam ready with us and buy a copy of RD Sharma Solutions Class 11 Maths here.
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RD Sharma Solutions Class 11 Maths Chapter 16
Exercise-Wise RD Sharma Solutions Class 11 Maths Chapter 16 Permutations
Detailed Exercise-wise Explanation with Listing of Important Topics in the Exercise
RD Sharma Class 11 Solutions Chapter 16 Ex 16A
In the RD Sharma Solutions Class 11 Chapter 16A, the students will have to deal with the essential concepts of Permutation. The experts have given equal emphasis to meeting the requirements of the students.
Besides these demands, you will also get to witness step-by-step analysis in connection with Factorials. Each and every part has been covered as per the latest syllabus. All the concepts have been structured in the form of explanations.
RD Sharma Class 11 Solutions Chapter 16 Ex 16B
In the RD Sharma Solutions Class 11 Maths Chapter 16 Permutations you will be exposed to all kinds of tricky problems from Permutation. Try to attempt all the questions from RD Sharma Class 11 Chapter 16B without seeing the answers from Chapter 16 solutions. Access your performance and make a note of it.
After some time you check all the answers from RD Sharma Solutions Class 11 Maths Chapter 16 Permutations. If you make a habit you will get the maximum benefit in your final Maths exam. While focusing on the problems based on Permutation from RD Sharma Class 11 Solutions Chapter 16 Exercise 16B look for the ways the concepts have been presented.
You will be in a commendable position if you look for the little things at the time of practicing questions from Class 11 RD Sharma Chapter 16B. The essential parts of this section are the principle of addition and the principle of multiplication.
RD Sharma Class 11 Solutions Chapter 16 Ex 16C
The RD Sharma Class 11 Chapter 16C consists of the elements which are related to fundamental aspects of Permutation. The students are expected to practice all the problems that are given in RD Sharma Solutions Class 11 Chapter 16 Exercise 16C on a regular basis.
The experts have presented the answers to the complex problems in Class 11 Chapter 16C to make things easier for the students. Solving this is the key to success and to get good results you must make proper use of the key.
RD Sharma Class 11 Solutions Chapter 16 Ex 16D
In RD Sharma Solutions Chapter 16 Ex 16D, students will get to know about the techniques that can be applied in the case of Permutation. Different problems have been dealt with by the experts with an extra bit of care and all you need to do is sit with the relevant parts like the repetition of items as well as the distinction of items after understanding the concepts. You can also include the parts in your study materials while examining the essential aspects of Permutation.
RD Sharma Class 11 Solutions Chapter 16 Ex 16E
In the RD Sharma Exercise 16E Solutions Class 11 Chapter 16 the students will be exposed to the relevant things like the same. The experts have concentrated on the important part to satisfy the needs of the students. All the parts from this area have been dealt with to guide the students. The concepts involved with this part will become crystal clear once you focus on it.
Access RD Sharma Solutions Class 11 Maths Chapter 16
1. Compute:
(i) 30!/28!
(ii) (11! – 10!)/9!
(iii) L.C.M. (6!, 7!, 8!)
Solution:
(i) 30!/28!
Let us evaluate
30!/28! = (30 × 29 × 28!)/28!
= 30 × 29
= 870
(ii) (11! – 10!)/9!
Let us evaluate
We know,
11! = 11 × 10 × 9 × …. × 1
10! = 10 × 9 × 8 × … × 1
9! = 9 × 8 × 7 × … × 1
By using these values, we get,
(11! – 10!)/9! = (11 × 10 × 9! – 10 × 9!)/ 9!
= 9! (110 – 10)/9!
= 110 – 10
= 100
(iii) L.C.M. (6!, 7!, 8!)
Let us find the LCM of (6!, 7!, 8!)
We know
8! = 8 × 7 × 6!
7! = 7 × 6!
6! = 6!
So,
L.C.M. (6!, 7!, 8!) = LCM [8 × 7 × 6!, 7 × 6!, 6!]
= 8 × 7 × 6!
= 8!
2. Prove that: 1/9! + 1/10! + 1/11! = 122/11!
Solution:
Given:
1/9! + 1/10! + 1/11! = 122/11!
Let us consider LHS 1/9! + 1/10! + 1/11!
1/9! + 1/10! + 1/11! = 1/9! + 1/(10×9!) + 1/(11×10×9!)
= (110 + 11 + 1)/(11 × 10 × 9!)
= 122/11!
= RHS
Hence proved.
3. Find x in each of the following:
(i) 1/4! + 1/5! = x/6!
(ii) x/10! = 1/8! + 1/9!
(iii) 1/6! + 1/7! = x/8!
Solution:
(i) 1/4! + 1/5! = x/6!
We know that
5! = 5 × 4 × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1
So by using these values,
1/4! + 1/5! = x/6!
1/4! + 1/(5×4!) = x/6!
(5 + 1) / (5×4!) = x/6!
6/5! = x/(6×5!)
x = (6 × 6 × 5!)/5!
= 36
∴ The value of x is 36.
(ii) x/10! = 1/8! + 1/9!
We know that
10! = 10 × 9!
9! = 9 × 8!
So by using these values,
x/10! = 1/8! + 1/9!
x/10! = 1/8! + 1/(9×8!)
x/10! = (9 + 1) / (9×8!)
x/10! = 10/9!
x/(10×9!) = 10/9!
x = (10 × 10 × 9!)/9!
= 10 × 10
= 100
∴ The value of x is 100.
(iii) 1/6! + 1/7! = x/8!
We know that
8! = 8 × 7 × 6!
7! = 7 × 6!
So by using these values,
1/6! + 1/7! = x/8!
1/6! + 1/(7×6!) = x/8!
(1 + 7)/(7×6!) = x/8!
8/7! = x/8!
8/7! = x/(8×7!)
x = (8 × 8 × 7!)/7!
= 8 × 8
= 64
∴ The value of x is 64.
Here are the Important concepts of this chapter 16
- The factorial.
- Fundamental principles of counting.
- Permutations.
- Permutations under certain conditions.
- Permutations of objects are not all distinct.
RD Sharma Solutions Class 11 Maths Chapter 16 -Permutations
RD Sharma’s solution can expose you to new ways of dealing with complex problems from Permutation. Getting PDF files of the RD Sharma Chapter 16 Solutions forms the backbone of the preparation.
All the things will become interesting when you concentrate on the relevant parts. There are different kinds of benefits for referring to RD Sharma Chapter 16 Class 11 Solutions and now we will talk about those solutions. You must collect it after you finish your syllabus.
- The students will be able to prepare themselves in a better way when they go through the contents of Maths Chapter 16.
- The students will be able to cross all the hurdles in relation to the problems that are involved with Permutations.
- All the parts in connection with the basics of Permutations have been explained with proper presentations and if you examine the contents carefully you will be left with zero queries.
- You will get new ideas to improve your methods of preparation and that is the beauty of following CBSE Chapter 16 Permutations.
- Shaping study materials becomes easier for you when you are ready with solutions.
Access Other Important Chapters of RD Sharma Solutions Class 11 Maths
- Chapter 1 – Sets
- Chapter 2 – Relations
- Chapter 3 – Functions
- Chapter 4 – Measurement of Angles
- Chapter 5 – Trigonometric Functions
- Chapter 6 – Graphs of Trigonometric Functions
- Chapter 7 – Trigonometric Ratios of Compound Angles
- Chapter 8 – Transformation Formulae
- Chapter 9 – Trigonometric Ratios of Multiple and Sub-Multiple Angles
- Chapter 10 – Sine and Cosine Formulae and Their Applications
- Chapter 11 – Trigonometric Equations
- Chapter 12 – Mathematical Induction
- Chapter 13 – Complex Numbers
- Chapter 14 – Quadratic Equations
- Chapter 15 – Linear Inequations
FAQs on RD Sharma Solutions Class 11 Maths Chapter 16
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Once you have downloaded the PDF online, you can access it offline as well.
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Yes, your preparation will be strengthened with this amazing help book. All your questions will be answered by this book.
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