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Short Term Preparation FSc/ICS 1 @fsc-part1-ptb
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o help the students and teachers at no cost by [[:people:salman-sherazi|M Salman Sherazi]]. ====Summary==
FSc/ICS Part 1 (Mathematics): PTB
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can get benefits to teach their students. Lot of people (students and teachers) help us to manage this pa
FSc/ICS Part 2 (Mathematics): PTB
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can get benefits to teach their students. Lot of people (students and teachers) help us to manage this pa
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
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PTB) Lahore, Pakistan. We are very thankful to [[:people:aurang-zaib]] for his valuable contribution. ===
Aurang Zaib @people
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=== Aurang Zaib ====== <image shape="rounded">{{ :people:aurang-zaib.jpg?nolink|Mr. Aurang Zaib}}</image>
People
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====== People ====== On this page, we have given the the list of all students, teachers or faculty member... ery thankful to all of them. - [[:atiq]] - [[people:farooq]] - [[:khuram]] - [[:imran]] - [[people:umer]] - [[people:anwar-khan]] - Mr. Muhammad Idress - [[people:moin]] - Muhammad Marwan - Mr.
About Us
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sing http://www.photofuneditor.com/ * See the [[people]] page for list of contributors to this website.
Topology and Functional Analysis Solved Paper by Noman Khalid @notes
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e solved papers are written and provided by Mr. [[people:noman-khalid]]. We are very thankful to him for p
FSc/ICS Part 1 (Mathematics): KPK
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can get benefits to teach their students. Lot of people (students and teachers) help us to manage this pa
Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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rue">(a): $768)$</collapse> vi. A committee of 4 people will be selected from 8 girls and 12 boys in a cl
Question 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06
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ing the total number of ways of sitting these $n$ people in which two men want to sit together are: $$(n-2
Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06
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n-1) !=(5-1) !=4 !=24$$ =====Question 6===== Six people including Faisal and Saima are to be seated at a ... ution==== The total number of ways sitting of six people around a circular table are: $$(n-1) !=(6-1) !=5 ... he total number of ways to give seat to these six people are: $$4 ! \cdot 2 !=48$$ Because the five people will permute by $(5-1) !$ and Faisal and Saima can per
Question 1 Review Exercise 6 @math-11-kpk:sol:unit06
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rue">(a): $768)$</collapse> vi. A committee of 4 people will be selected from 8 girls and 12 boys in a cl
Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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n. =====Question 7===== Consider a group of $20$ people. If everyone shakes hands with everyone else, how
Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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$ =====Question 15===== In how many ways can $7$ people be arranged at a round table so that 2 particular... er? ====Solution==== Nurnber of ways in which $7$ people can be seated around a round table without any co... is $6 !$ Now, let us assume these two particular people ALWAYS sit together and let us consider them as one unit. Number of ways in which $6$ people can be arranged around a round table is $5!$ And
Mathematics 10 (Science Group) @matric
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ADS/BSc
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Question 9 & 10 Exercise 4.3 @math-11-kpk:sol:unit04
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Home
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Sheikh Muhammad Saleem Shahzad @people
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Engr. Moin Latif @people
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Notes of Mathematics
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FSc Part 1 (Mathematics): KPK
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FSc-I Mathematics KPK: View Online @fsc:kpk-fsc-part1-km
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Fluid Mechanics by Ali Raza @notes
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Fluid Dynamics I by Muhammad Usman Hamid @notes
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Elementary Linear Algebra by Muhammad Usman Hamid @notes
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Algebra II by Syed Sheraz Asghar @notes
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Fluid Mechanics II by Dr Rao Muzamal Hussain @notes
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Akhtar Abbas @people
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Notes of Algebra @notes
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Notes of Analysis @notes
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Mechanics by Sir Nouman Siddique @notes
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History of Mathematics by Muhammad Usman Hamid @notes
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Fuzzy Sets Theory by Umar Saeed Bunarai @notes
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General Topology by Raheel Ahmad @notes
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Complex Analysis (Quick Review) @notes
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Complex Analysis (Notes) by Ms. Iqra Liaqat @notes
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Computing Tools for Mathematics by Asif Arshad @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Numerical Analysis II @notes
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Operation Research by Sir Haidar Ali @notes
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Partial Differential Equations by Muzammil Tanveer @notes
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Mechanics I (Statics) by Dr Babar Ahmad @notes
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Fluid Mechanics I by Dr Rao Muzamal Hussain @notes
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Differential Geometry by Syed Hassan Waqas @notes
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Affine and Euclidean Geometry by Shahzad Idress @notes
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Special Functions by Dr. Muhey-U-Din @notes
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Notes of Mathematical Method @bsc
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Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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