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Title Name | IGNOU BCA MCS 13 Solved Assignment 2023 2024 |
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Type | Soft Copy (E-Assignment) .pdf |
University | IGNOU |
Degree | BACHELOR DEGREE PROGRAMMES |
Course Code | BCA |
Course Name | Bachelor of Computer Applications |
Subject Code | MCS 13 |
Subject Name | Discrete Mathematics |
Year | 2023 2024 |
Session | - |
Language | English Medium |
Assignment Code | MCS-013/Assignmentt-1//2023-24 |
Product Description | Assignment of BCA (Bachelor of Computer Applications) 2023-24. Latest MCS 013 2023-24 Solved Assignment Solutions |
Last Date of IGNOU Assignment Submission | Last Date of Submission of IGNOU MCS-013 (BCA) 2023-24 Assignment is for January 2023 Session: 30th September, 2023 (for December 2023 Term End Exam). Semester Wise January 2023 Session: 30th March, 2024 (for June 2024 Term End Exam). July 2023 Session: 30th September, 2023 (for December 2023 Term End Exam). |
Assignment Code | MCS 13/2023 2024 |
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Ques 1.
What is Set? Explain use of Set with examples
Ques 2.
Make truth table for followings. (4) i) p→(~r q) (~p r) ii) p→ (~r ~ q) (p ~ r)
Ques 3.
Give geometric representation for followings: (3) i) {5, -3) x ( -2, -2) ii) {-1, 3) x ( -2, 3)
Ques 4.
Draw Venn diagram to represent followings: i) (A B C) (A B C) ii) (A B C) (B C) iii) (A B C)
Ques 5.
Write down suitable mathematical statement that can be represented by the following symbolic properties. (4) i) ( x) ( y) ( z)P ii) (z) ( y) ( z)Q
Ques 6.
Show whether √7 is rational or irrationl
Ques 7.
Explain use of inclusion-exclusion principle with example
Ques 8.
(b) Make logic circuit for the following Boolean expressions: (4) i) (xyz) + (xyz)' + (xz'y) ii) ( x'yz) (xyz') (xy'z)
Ques 9.
What is a tautology? If P and Q are statements, show whether the statement (
Ques 10.
How many words can be formed using letter of “EXCELLENT” using each letter at most once?
Ques 11.
If each letter must be used,
Ques 12.
If some or all the letters may be omitted.
Ques 13.
What is a relation?What are different types of relation? Explain equivalence relation with the help of example.
Ques 14.
Prove that 12 +22+32+ …+ n2 = n(n+1)(2n+1)/6 ; n ∈ N
Ques 15.
What is counterexample? Explain its use with the help of an example.
Ques 16.
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?
Ques 17.
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)?
Ques 18.
Find how many 3 digit numbers are odd?
Ques 19.
Explain whether the function f(x) = x + 1 is one-one or not.
Ques 20.
How many ways are there to distribute 21 district items into 6 distinct boxes with:
i) At least two empty box.
ii) No empty box.
Ques 21.
Explain principle of multiplication with an example.
Ques 22.
Three Sets A, B and C are: A = {1, 2,3,4,5, 8,9,12,15,17}, B = { 1,2, 3 ,4,8,9, 10 } and C {1,2,7, 9, 10, 11, 13}. Find A B C ; A ~B C; A B C and (A ~C).
Ques 23.
Explain addition theorem in probability
Ques 24.
Make Pascal's triangle up to n = 6.
Ques 25.
What is a function? Explain different types of functions with example
Ques 26.
Write the following statements in symbolic form:
(i) Mr. X is poor but happy.
(ii) Either eat healthy food or be ready for poor health.
Ques 27.
Find inverse of the following functions (3) f(x) = 3 2 3 x x x 3
Ques 28.
Find dual of Boolean Expression for the output ( Y) of the followinglogic circuit
Ques 29.
What is a proper subset ? Write the number of proper subsets of the Set {a, b, c, d, e, f}
Ques 30.
“If it rains, then you will play”. Write inverse and contrapositive for this sentence.
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