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Argue that ∀x(P(x)v∃yP(y))≡∃xP(x).

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x1+x2+x3<5,

x1+x2+x13+x4+x5+x6=10,

---How many nonnegative integer solutions does it have?

x1+x2+x13+x4+x5+x6=10,

---How many nonnegative integer solutions does it have?

In Progress... |

F=A’C + A’B + AB’C +BC, using, K-map

In Progress... |

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}.

Answered! |

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?

Answered! |

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

Answered! |

Simplify the following Boolean function using k -map

F = A’C + A’B + AB’C + BC

F = A’C + A’B + AB’C + BC

Answered! |

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