Discrete mathematics

1.

What is the inverse of the proposition: I do not come to school whenever it is raining. Select one: O If it is raining then I do not come to school. O If it is not raining then I come to school. O If I do not come to school then it is raining. O If I come to school then it is not raining.What is the contrapositive of the proposition: I do not come to school whenever it is raining. Select one: O If it is raining then I do not come to school. O If I come to school then it is not raining. O If it is not raining then I come to school. O If I do not come to school then it is raining.What is the converse of the proposition: I do not come to school whenever it is raining. Select one: O If I come to school then it is not raining. O If I do not come to school then it is raining. O If it is not raining then I come to school. O If it is raining then I do not come to school.What is a proposition? Select one: O a. A proposition is a declarative sentence that is either true or false. O b. A proposition is a declarative sentence that is true. O a. A proposition is a declarative sentence that is both true or false. O d. A proposition is a declarative sentence that is false.\fLet p and q be propositions. p: I bought a lottery ticket last week q: I won a million dollar jackpot Express p * q as an English sentence. Select one: O a. I bought a lottery ticket last week and I won a million dollar jackpot. O b. I bought a lottery ticket last week or I won a million dollar jackpot. O c, I bought a lottery ticket last week or I have not won a million dollar jackpot.Let, 0: 7