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Variance and Standard Daviation Part 3-Basic Mathematics-Assignment Solution, Exercises of Mathematics

This is solution to assignment of Basic Mathematics course. This was submitted to Karunashankar Sidhu at Institute of Mathematical Sciences. It includes: Variance, Combinations, Committees, Graph, Hamilton, Circuit, Vertex, Degree

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment 4 Of MTH202 (Spring 2012)
Maximum Marks: 15
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?
Solution:
We have to form combinations of 4 women out of 10 and 3 men out of 8.
10 4
C=210 and 83
C=56
Total number of ways are 10 8
43
210 56 11760 CC
Question 2 Marks: 5
Compute x and x for x = –3.01
Solution:
–3.01 = –4 + 0.99 = –4
–3.01 = –4+ 0.99 = –4 + 1 = –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)
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Assignment 4 Of MTH202 (Spring 2012)

Maximum Marks: 15

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?

Solution: We have to form combinations of 4 women out of 10 and 3 men out of 8. 10 C 4 (^) =210 and 8 C 3 (^) =

Total number of ways are

10 8 C 4 (^)  C 3  210  56  11760

Question 2 Marks: 5

Compute  x  and  x  for x = –3.

Solution:

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)

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

Solution(a): a, b, c, d, e, a is Hamilton circuit

Solution(b): Deg(A) = Deg(D) = 1 , Deg(B) = Deg(C) = 3

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