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The details of assignment 4 for the mth202 course offered in spring 2012. The assignment consists of three questions, each worth 5 marks. The first question involves combinations of men and women to form committees. The second question requires computing the determinant and matrix multiplication for a given value of x. The third question involves identifying a hamilton circuit in a graph and calculating the degree of each vertex. Students are expected to have a good understanding of the concepts covered in the first 30-40 lectures to complete the assignment.
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Maximum Marks: 15 Due Date: 07-07-
DON’T MISS THESE: Important instructions before attempting the solution of this assignment: •To solve this assignment, you should have good command over 30 - 40 lectures. Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 30 to 40 lectures.
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?
Question 2 Marks: 5
Compute x and x for x = –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)
(b) Give the degree of each vertex in the figure (given below) (Marks=3)