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Mth202 Assignment No. 5 Solution

Tuesday, June 28, 2011 Posted In Edit This
Assignment#5 Of MTH202 (Spring 2011)

Maximum Marks: 15
Due Date: June 28, 2011

DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
•To solve this assignment, you should have good command over 31 -35 lectures.
• Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 31 to 35 lectures.
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Question 1; Mark: 5
A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random, what is the probability that
i. All four will be women
ii. At least two will be men?

Question 2; Marks: 5
How many ways are there to select a committee to develop a discrete mathematics course at a university if the committee is to consist of four faculty members from the mathematics department and three from the computer science department, if there are 10 faculty members of the mathematics department and 12 of the computer science department?
Question 3; Marks: 5
Suppose that there are 1807 students at university. Of these, 453 are taking a course in computer science, 567 are taking a course in mathematics, and 299 are taking a courses in both computer science and mathematics .How many are not taking a course in either computer science or in mathematics?

SOLUTION:

A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random, what is the probability that
  1. All four will be women
  2. At least two will be men?
C(10,4)
=10!/4!(10-4)!
=10*9*8*7*6*! / 4*3*2*1*(6!)
=5040*6*5*4*3*2*1 / 24*6*5*4*3*2*1
=5040*720 / 24*720 =362800 / 17280
=210


C(6,4)
=6!/4!(6-4)!
=6*5*4*3*2*1 / 4*3*(2!)
=720 / 24(2*1) =720/48
=15

C(8,2)
=8! / 2!(8-2)! =8*7*6*5*4*3*2*1 / 2 *1(6!)
=40320 / 2(720)
=28

Question 2;                                                                                                           Marks: 5
How many ways are there to select a committee to develop a discrete mathematics course at a university if the committee is to consist of four faculty members from the mathematics department and three from the computer science department, if there are 10 faculty members of the mathematics department and 12 of the computer science department?

C(12,4).C (10,3)
=12! / 4! (12-4)! . 10! / 3! (10-3)!
=12*11*10*9*8! / 4*3*2*1(8!). 10*9*8*7! / 3*2*1 (7!)
=11880 / 24 .720/6
=495.120
=59400

Question 3;                                                                                                           Marks: 5
Suppose that there are 1807 students at university. Of these, 453 are taking a course in computer science, 567 are taking a course in mathematics, and 299 are taking a courses in both computer science and mathematics .How many are not taking a course in either computer science or in mathematics?

N(U)=1807
N(C)=453
N(m)=567
N(C ∩ m)=299
N(cUm)=?
N(cUm)=n(C)+n (m) –n (C∩m)
=453+567-299
=721
N(cUm)-n(U) –n (cUm)
=1807-721
=1088
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Another solution: Mth302 Assignment vusolution

CS301- Data Structures Assignment No. 4 (June 2011) - solution

Tuesday, June 28, 2011 Posted In Edit This
Assignment No. 04
SEMESTER Spring 2011
CS301- Data Structures




Total Marks: 30
Due Date: 28/06/2011



Consider the following phrase:

welcome to virtual university

There are total 29 characters in it; 26 alphabets and 3 spaces
  • Draw frequency table                    [5 marks]
  • Draw Huffman tree                [10 marks]
  • Determine Huffman code for each character         [5 marks]
  • Encode the above phrase using Huffman codes calculated above [5 marks]
  • Encode the above phrase using ASCII codes [5 marks]




Lectures Covered:  This assignment covers Lecture # 25-26
Deadline: Your assignment must be uploaded/submitted at or before 28-June-2011.


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SOLUTION:


Click here to download solution, CS301 Assignment Solution

HRM627 GDB No. 3 Announced

Tuesday, June 28, 2011 Posted In Edit This
Semester “Spring 2011”
“Human Resource Development (HRM 627)”

This is to inform that Graded Discussion Board (GDB-2) will be opened according to the following schedule

Opening Date and Time:
30th June , 2011 At 12:01 A.M. (Mid-Night)

Closing Date and Time:
04th July , 2011 At 11:59 P.M. (Mid-Night)

Topic/Area for Discussion
“Minority discrimination”

Note: The discussion question will be from the area/topic mentioned above. So start learning about the topic now.

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