# MTH202 Assignment 1 Solution Fall 2021 - Discrete Mathematics Assignment

Provide Latest MTH202 Assignment 1 Solution Fall 2021. Easy to See Correct Step by Step Perfect MTH202 Assignment 1 Solution Download PDF File.

## MTH202 ASSIGNMENT 1 SOLUTION FALL 2021

Due Date: 14 Dec 2021

Total Marks: 15

Question 1:

With the help of a Truth table, justify your answer that the following statement is NOT a contradiction.  Solution:

 p q ~q ~q p → q ~q → ~p (p → q) ↔ (~q → ~p) T T F T T T T T F F F F F T F T T F T T T F F T T T T T

A statement that is false for all possible values of the variable involved in it is called a contradiction.

The above table given statement is not contradictory.

Question 2:

Part a:

Suppose that the set A=a,b,c. Find the power set of A. (Denoted by P(A)).

Solution:

A = {a,b, c}

P(A) = {a},{b},{c},{a,b},{a, c},{b, c},{a,b, c}}

Part B:

Suppose that the set  U={x:1≤x≤10}

A= {x∈P /  x≤10} and B= {x∈N /  x≤5}.

Find the A∩B, A∪B. Also that draw the Venn diagram of the elements of  A∩B, A∪B.

Solution:

U = {x :1 x 10} = {1, 2,3, 4,5, 6, 7,8,9,10}

A = {x P / x 10} = {2,3,5, 7}

B = {x N / x 5} = {1, 2,3, 4,5} A B, A B =?

A B = {2,3,5, 7} {1, 2,3, 4,5} = {2,3,5}

A B = {2,3,5, 7} {1, 2,3, 4,5} = {1, 2,3, 4,5, 7}

A and B are overlapping their Diagram Given in Below PDF.

Check Also:

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