Note:Show your work

Consider the subsets A = {x,y,u,w}, B= {y,u,v} and C = {x,z,v} of the universal set

U = {x,y,z,u,v,w}.

List the elements in each of the following sets:

1. A B C

1. (A U B)'

1. (A B') U (A' B)

Q4)

How many different 3- card hands are there in a deck of 52 cards?

Q5)

Three boys and two girls are to be seated in a row of chairs to have a picture taken. In how many ways can they be seated for the picture, if there are no restrictions?

Q6)

How many ways can a committee of 5 Democrats and 2 Republicans be selected from a state legislature that contains 11 Democrats and 10 Republicans?

Q7). Find the probability of E given that the odds in favor of E are 4 to 1.

Q8). A bank advertises that 10 customers on a certain day will get T-shirts, selected at random. On that day there are 30 customers. In how many ways can the T-shirts be awarded?

Q9). A class of 40 students has 10 honor students and 13 athletes. Three of the honor students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student.

Q10). Find P(4,2)