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Assignment # 2 Mth202 Spring 2015

INSTRUCTIONS:

Please read the following instructions before attempting the solution of this assignment:

•     To solve this assignment, you should have good command over 23-29 lectures.

In order to solve this assignment you have strong concepts about following topics:

ü  Mathematical Induction

ü  Methods of proof & proof by contradiction

ü  Algorithm and division algorithm

ü  Combinatorics

Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these lectures. You should concern the recommended books for clarification of concepts.

•    Upload assignments properly through LMS. No Assignment will be accepted through email.

• Do not use colorful back grounds in your solution files.
• Use Math Type or Equation Editor etc. for mathematical symbols and equations.
• You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students. Therefore, try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.
• Avoid copying the solution from book (or internet); you must solve the assignment yourself.
• Also remember that you are supposed to submit your assignment in Word format any other like scan images, HTML etc. will not be accepted and we will give zero marks correspond to these assignments.
• You are directed to carefully see your section’s assignment with the Section Incharge name mentioned on it and attempt your relevant assignment. Moreover you will be awarded zero marks if you will submit assignment other than your section.

Section 1

Section Incharge Name:-  Asmat Batool

Question: 1                                                                                                      Marks: 10

Prove the following by using the principle of Mathematical Induction:

, For all integers

Question: 2                                                                                                       Marks: 06

Prove by contradiction that   is irrational.

Question: 3                                                                                                   Marks: 04

Name the four properties which a loop with guard G needs to satisfy in order to be true with respect to its pre and post conditions.

Section 2

Section Incharge Name:-  Saima Shafi

Question: 1                                                                                                          Marks: 10

Prove the following by using the principle of Mathematical Induction:

Question: 2                                                                                                               Marks: 05+05

(a) A bank customer can only access his locker if he enters his code consists of from one to six digits (repetition is allowed). Then how many different codes are possible?

(b) Find the number of n ways that a team consisting of 12 members can select a coach, assistant coach, and captain. Assume that no member is selected more than one.

Section 3

Section Incharge Name:-  Jamshaid Nasir

Question: 1                                                                                                          Marks: 10

Prove the following by using the principle of Mathematical Induction:

Question: 2                                                                                                         Marks: 10

Use the Euclidean algorithm to find GCD (108, 30)

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Replies to This Discussion

Assalam Alikum and Eid Mubarak, Plz solve this assignment and don't dare to forget during Eid. We already screwed up Automata assignment!!

koi ha jes na mth 202 ki assignment hal ki ha all section

how do i know my section?? my id is bc100202144

Plz post for 2nd Section.

Section 1 solved by anybody ?

Solve second half solve ho gya hai muj sy baqi nai ho rha..

Plz share if you have solved it correctly.

plz share the section 1

how do i know my section?? my id is bc100202144

You can check in your vulms Math Incharge Name then match in Assignment Section. It has nothing to do with bc100202144 or mc.

see assignment section in you vulms

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