MTH202 VU Current Final Paper Spring 2012

TOTAL QUESTIONS 52…
40 MCQ’s

LONG QUESTIONS ARE THERE…

Q:41: Let A and B be events with p(A)=1/2,p(B)=1/3 and

p(A∩B)=1/4

Find p(B\A)……. (2MARKS)

Q:42: Find the degree sequence of the following.. (2MARKS)

B c

e d

Q:43: How many 3-digits number can be formed by using each one of the digits 2,3,5,7,9 only one … (2MARKS)

Q:44: If A={1,3,5} then find the proper subset of A .. (2MARKS)

Q:45: Show that the given graph is plannar..

Q:46: The member of a club are 12 boys 8 girls. In how many ways can a committee of 3 boys and 2 girls be formed… (3MARKS)

Q:47: Determine the probability of data copied from vu solutions dot com the given event..

“An odd number appears in the throw of a fair die”…

Q:48: The venn diagram given below shows the sets ..shade the following..
(i) A-(AUC)
(ii) Acompliment,
(iii) ∩(BUC)…

Q:49: Draw a tree diagram…….ppp

Q:50: Write the incidents, adjacent, loops, edges and parallels of the given diagram….. (5MARKS)

MTH202 GDB Idea Solution Spring July 2012

GDB Topic:
        “ Real life examples of Hamiltonian graph.” 

Idea Solution:-
Yes there are certain points that proves that the real life is like Hamiltonian graph
1. Earning money (Hasoole rizq ) is is vertex and procedures to earn Halal or Haram there are two different ways (edges) u can go through any way but once only u can not chage haram into halal & u earn money agai and agin.
2. from time of birth to deth point life is also simulates the Hamiltonian graph (coming in this world and going back from this world) there are different ways to do the routine jobs (wright / wrong ways) one can select any one but destination is same.
…………..
Example: driving
Vertices: cities
Edges: transportation
If I use the same route while returning back then it will not be a Hamiltonian circuit but if I use a different route via some other cities while coming back the above stated problem is a real life example of Hamiltonian Circuit.
transport is one of the smalest part of our real life . think when there was no transport even no transport concept even that time there was a reality of life so we are talking about real life of a human been.

Another:-
 
Real life applications:
- anything where you have to visit all locations, such as:

pizza delivery
mail delivery
traveling salesman
garbage pickup
bus service/ limousine service
reading gas meters

For diagrams and details visit here:
Hamiltonian Circuits (DIAGRAMS AND EXAMPLES) 

>> Hamiltonian Circuit, is a circuit (a path that ends where it starts) that visits each vertex once without touching any vertex more than once. There may be more than one Hamilton path for a graph, and then we often wish to solve for the shortest such path. For example if I use the route while returning back then it will not be a Hamiltonian circuit but if I use a different route via some other cities while coming back the above stated problem is a real life example of Hamiltonian Circuit. 

 

MTH202 Asignment # 4 Solution (Spring 2012)

Assignment 4 Of MTH202 (Spring 2012)

  

Question 1                                                                                                            Mark: 5

There are 8 men and 10 women members of a club. How many committees of seven persons can be formed, having 4 women?

Answer:

C(10,4).C(8,3)=11760

Question 2                                                                                                           Marks: 5

Compute ëxû and éxù for x = –3.01 

Answer:

ë-3.01û=-4

é-3.01ù=-3

Question 3                                                                                                           Marks: 5

(a) Determine whether the given graph has a Hamilton circuit? If  it does, find such a circuit, if it does not , given an argument to show why no such circuit exists.    (Marks=2)

Answer:

Yes this graph has Hamilton circuit and the circuit is abcdea

(b)  Give the degree of each vertex in the figure (given below)     (Marks=3)

   Answer:

Deg(A)=1,deg (B)=3,deg(C)=3,deg(D)=1