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