уф ема

A bowl contains 8 red balls and 8 green balls. A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least four balls of the same color?

• 12

• 8

• 7

• 4

• 6

Which of the following sentences is a proposition?

• Can you help me?

• Take this pencil.

• x + 2 = 6

• 3 + 2 = 6

• Why should you study discrete mathematics?

Let p be a proposition. The statement “It is not the case that p” is denoted by

• ⊕p

• p → ¬p

• ¬p

• p∧¬p

• ¬p∨p

Let p and q be propositions. The proposition that is true when both p and q are true and is false otherwise is denoted by

• p∨q

• p→q

• p⇔q

• p⊕q

• p∧q

Let p and q be propositions. The proposition that is false when p and q are both false and is true otherwise is denoted by

• p→q

• p∨q

• p∧q

• p⇔q

• p⊕q

Let p and q be propositions. The proposition that is true when exactly one of p and q is true and is false otherwise is denoted by

• p∨q

• p→q

• p⇔q

• p⊕q

• p∧q

Let p and q be propositions. The proposition that is false when p is true and q is false and is true otherwise is denoted by

• p∨q

• p→q

• p⇔q

• p⊕q

• p∧q

Let p and q be propositions. The proposition that is true when p and q have the same truth values and is false otherwise is denoted by

• p∨q

• p→q

• p⇔q

• p⊕q

• p∧q

Find the converse of P→¬

• q→¬p

• q→p

• ¬q→¬p

• ¬q→p

• q→p

Find the contrapositive of ¬p→q

• q→¬p

• ¬q→p

• ¬p→q

• ¬q→¬p

• p→q