1)- Make a truth table for (p^~q)~p

2)- Translate the following argument into symbols and use a truth table to determine whether it is valid or invalid:

I'm going to the beach or I'm going to the movies.

If I go to the movies, then I won't go swimming.__

Therefore, if I go to the beach, then I am going swimming.

3)- Let U={0, 1, 2, ..., 20}, X={2, 3, 4, 7, 9, 11},and Y={0, 1, 7, 8, 9, 15, 19}

Find X'Y

4)- A restaurant menu has4 appetizers, 7 entrees and 3 desserts.If you order one of each, how many different meals are possible?

5)- In a drawing with 10 contestants,5 are chosen as finalists, and then 3 of the finalists are selected to win 1st, 2nd, and 3rd place prizes.How many possible outcomes can the drawing have?

6)- If one card is chosen at random from a deck, find the probability that it will not be a diamond or a face card (jack, queen, or king).

7)- There are 10 marbles in a jar -6 blue and 4 red.If you randomly select2 marbles, without replacement, what is the probability of picking a blue marble and then a red marble?