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Thursday, February 24, 2011

MTH202 Final Term

MTH202
30 MCQ's and 9 Questions = Total 39 Questions

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5 marks=====Use mathematical induction to prove that 1+3+5+…+(2n -1) = n2 for all integers n ≥1.

5 marks=====How many ways can a total inventory of 120 batteries be distributed among the t13 different types?
                           Assuming that one of the types of batteries is C46, how many ways can a total inventory of 120 batteries
                           be distributed among the 13 different types if the inventory must include at least four A76 batteries?
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5 marks=====Three companies X, Y, Z are produce cars in a city and survey of  readers indicates the following:
                          40% buy X, 26% buy Y, 19% buy Z
                          18% read both A and B, 15% read both A and C
                          10% read both B and C, 6% read all the three
                          For a person chosen at random, find the probability that he buys none of the above.

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3 marks=====Mathematical Induction to prove that 1+2+3+4+...+n=(n+1)/2
3 marks=====Let A and B be events of an experiment such that P(B) = 3/4 and P(A∩B) = 2/7. Fine P(A|B)?
3 marks=====Find the matrix representing the relations SoR where the matrices representing R and S are
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2marks=====Find Fog(x) if f(x)= x^2+1  and   g(x)=2x+2
2marks=====f: R →R be defined by the rule f(x) = x^3.  Show that f is a bijective.
2marks=====How many 11-bit strings contain exactly 5 0’s?

By ADEEL ABBAS, Bhakkar. AdeelAbbasbk@gmail.com

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