IGNOU MCS 13 SOLVED ASSIGNMENT 2024 2025

Ques 1.

What is Power Set? Find P(A) for A = { a,b,c,d,e,f)

Ques 2.

Make truth table for followings.

i)p→(~r^~q)^(pvr)

ii)p(rv~q) (~p^~r)

Ques 3.

What is proposition?

i) Write any two statements which are not proposition.

ii) Write any two statements which are proposition.

Ques 4.

Define the terms Domain, Co-domain and Range in the context of a function. Also find the domain, co-domain and range for a function A to B, where A={1,2,3,4,5} and ={1,4,9,16,25}.

Ques 5.

Draw Venn diagram to represent followings:

(i) 

(ii)  

(iii)  

Ques 6.

Write down suitable mathematical statement that can be represented by the following symbolic properties.

i)  

ii)  

iii)  

iv)  

Ques 7.

Show whether V11 is rational or irrational.

Ques 8.

Explain applications of inclusion-exclusion principle with example.

Ques 9.

Draw logic circuit for the following Boolean expressions:

i)   

ii)  

iii)  

Ques 10.

What is a relation? Is every relation a function? Explain critically. Also, explain equivalence relation with the help of example.

Ques 11.

How many words can be formed using letter of "DETERMINATION" using each letter at most once?

i) If each letter must be used,

ii) If some or all the letters may be omitted.

Ques 12.

Prove that 

Ques 13.

What is a tautology? If P and Q are statements, show whether the statement  tautology or not.

Ques 14.

A committee consisting of 5 male and2 female workers is to be constituted from 8 male and 9 female workers. In how many distinct ways can this be done?

Ques 15.

A and B are mutually exclusive events such that P(A) = 1/4 and P(B)= 1/2 and P (AU B) = 1/6. What is the probability of P(A ∩ B)?

Ques 16.

Find how many 3 digit numbers are even?

Ques 17.

Explain whether the function f(x) = x²+2 is one-one or not.

Ques 18.

Let fand g be the two functions such that  Define fof, fog, gof and gog.

Ques 19.

How many wa

ys are there to distribute 29 district items into 5 distinct boxes with:At least two empty box.

i) At least two empty box.

ii) No empty box.

iii) Explain principle of multiplication with an example

Ques 20.

Three Sets A, B and Care: A= {1, 3,5,7,9,12,13, 15,17}, B= {1,2, 3,7,8,9, 10,17} and C {1,2,7, 8, 10, 11, 12,13,173. Find A B C; A~BUC; ABCand(A~C)

Ques 21.

Explain addition theorem in probability with an example.

Ques 22.

Prove +C "C, + "C,n

Ques 23.

What is a function? Explain how to find inverse of a function with the help of an example.

Ques 24.

Write the following statements in symbolic form:

(i) Mahesh is hardworking student therefore he is a good performer.

(ii) Either exercise regularly or be ready for poor health.

Ques 25.

Find dual of Boolean Expression for the output (P) of the following logic circuit.

Ques 26.

Show, using the pigeonhole principle, that in any group of 30 people, 5 people can always be found who were born on the same day of the week.

Ques 27.

"If today is a holiday then I will not go to school". Write inverse and for this sentence. contrapositive 

Ques 28.

Explain circular permutation and its application in problem solving with en example.

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