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In the context of admission to IGNOU, give example of the following-

1.an implication ,

2.the converse of (1) above.

3.a two way implication which is true.

4.a statement involving both for all and there exit.

5.the contrapositive of (1) above.

1.an implication ,

2.the converse of (1) above.

3.a two way implication which is true.

4.a statement involving both for all and there exit.

5.the contrapositive of (1) above.

Answered! |

Any subset of A × A is called a relation on the set A. A relation R on A is symmetric if

(a, b) ∈ R ⇒ (b, a) ∈ R ∀ a, b ∈ A. Give one example each, with justification, of

i) a symmetric relation on ,

ii) a relation that is not symmetric on the set {2, 3, 5, 7}.

(a, b) ∈ R ⇒ (b, a) ∈ R ∀ a, b ∈ A. Give one example each, with justification, of

i) a symmetric relation on ,

ii) a relation that is not symmetric on the set {2, 3, 5, 7}.

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In a survey of a TriDelt chapter with 50 members, 19 were taking mathematics, 33 were taking English, and 7 were taking both. How many were not taking either of these subjects?

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In the context of admission to IGNOU, give examples of the following:

i) an implication;

ii) the converse of (i) above;

iii) a two-way implication which is true;

iv) a statement involving both ∀ and ∃.

v) the contrapositive of (i) above.

i) an implication;

ii) the converse of (i) above;

iii) a two-way implication which is true;

iv) a statement involving both ∀ and ∃.

v) the contrapositive of (i) above.

Answered! |

(a, b) ∈ R ⇒ (b, a) ∈ R ∀ a, b ∈ A. Give one example each, with justification, of

i) a symmetric relation on ,

ii) a relation that is not symmetric on the set {2, 3, 5, 7}.

Answered! |

write the following boolean expressions in an equivalent sum of product canonical form in three variables x1, x2, and x3:

1. x1*x2 ?

2. x1⊕x2 ?

3. (x1⊗X2)'*X3

1. x1*x2 ?

2. x1⊕x2 ?

3. (x1⊗X2)'*X3

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Simplify the following Boolean function using k -map

F = A’C + A’B + AB’C + BC

F = A’C + A’B + AB’C + BC

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Expand the following Boolean functions into their canonical form:

i. f(X,Y,Z)=XY+YZ+X'Z+X'Y'

ii. f(X,Y,Z)=XY+X'Y'+X'YZ

i. f(X,Y,Z)=XY+YZ+X'Z+X'Y'

ii. f(X,Y,Z)=XY+X'Y'+X'YZ

Answered! |

Expand the following Boolean functions into their canonical form:

i. f(X,Y,Z)=XY+YZ+ X Z+ X Y

ii. f(X,Y,Z)=XY+ X Y + X YZ

i. f(X,Y,Z)=XY+YZ+ X Z+ X Y

ii. f(X,Y,Z)=XY+ X Y + X YZ

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If we have 100 people (80 male and 20 female) and we need to choose a committee.

The committee must contain exactly 2 females, then how many different 5 person committees are possible?

The committee must contain exactly 2 females, then how many different 5 person committees are possible?

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