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IGNOU assignments allow students to demonstrate their understanding of the course material and apply theoretical concepts to real-life situations.
Assignments are a required component of IGNOU courses. Students have a responsibility to submit assignments for each course in which they are enrolled, usually by a particular time limit.
Each assignment includes detailed instructions for the format, word count, referencing style, and submission rules. Students must follow these rules to guarantee their assignments are accepted.
Assignments frequently consist of a series of questions or assignments related to the course material. These questions may ask students to , solve problems, compose essays, or undertake research.
Assignments carry a particular weight in the overall evaluation of a course. The marks acquired in assignments contribute to the student’s final grade.
Course Code : MCS-013
Course Title : Discrete Mathematics
Assignment Number : BCA (II)/013/Assignment/2023-24
Maximum Marks : 100
Last Date of Submission : 31st October, 2023 (for July Session)
30th April, 2024 (for January Session)
There are eight questions in this assignment, which carries 80 marks. Rest 20 marks are for
viva-voce. Answer all the questions. You may use illustrations and diagrams to enhance the
explanations. Please go through the guidelines regarding assignments given in the
Programme Guide for the format of presentation.
Q1. (a) What is Set? Explain use of Set with examples
(b) Make truth table for followings.
(c) Give geometric representation for followings:
i) {5, -3) x ( -2, -2)
ii) {-1, 3) x ( -2, 3)
Q2. (a) Draw Venn diagram to represent followings:
(b) Write down suitable mathematical statement that can be represented by the following symbolic
properties.
(c) Show whether √7 is rational or irrational.
Q3. (a) Explain use of inclusion-exclusion principle with example.
(b) Make logic circuit for the following Boolean expressions:
i) (xyz) + (xyz)’ + (xz’y)
ii) ( x’yz) (xyz’) (xy’z)
(b) What is a tautology? If P and Q are statements, show whether the statement
(𝑃 → 𝑄) ∨ ( →~ 𝑃) is a tautologyor not.
Q4. (a) How many words can be formed using letter of “EXCELLENT” using each letter at most
once?
i) If each letter must be used,
ii)If some or all the letters may be omitted.
(b) What is a relation? What are different types of relation? Explain equivalence relation with the
help of example. (3)
(c) Prove that 12 +22+32+ …+ n2 = n(n+1)(2n+1)/6 ;
n ∈ N (3)
(d) What is counterexample? Explain its use with the help of an example.
Q5. (a) How many different professionals committees of 8 people can be formed, each containing at
least 2 Doctors, at least 2 Public Servants and 1 IT Expert from list of 7 Doctors, 6 Public
Servants and 6 IT Experts?
(b) A and B are mutually exclusive events such that P(A) = 1/2 and P(B) = 1/3 and P (AU B) = 1/4.
What is the probability of P(A Ո B)?
(c) Find how many 3 digit numbers are odd?
(d) Explain whether the function f(x) = x + 1 is one-one or not.
Download PDF Of MCS-013 Assignment-
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