A)Evaluate the expression.

15P2

B)In how many ways can a chairperson and a vice chairperson be selected from a committee of 25 senators?

C)Evaluate the expression. 

8 4 4
5 2 1


D)Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question.

In how many ways can seven books be arranged on a bookshelf?


E)A certain lock has five tumblers, and each tumbler can assume six positions. How many different possibilities are there?

F)Give the probability in decimal form (correct to two decimal places). A calculator may be helpful.

Last semester, a certain professor gave 40 As out of 283 grades. If one of the professor's students from last semester were selected randomly, what is the probability that student received an A? (Assume that each student receives one grade.)

G)An oil-drilling company knows that it costs $25,000 to sink a test well. If oil is hit, the income for the drilling company will be $345,000. If only natural gas is hit, the income will be $145,000. If nothing is hit, there will be no income. If the probability of hitting oil is 1/40 and if the probability of hitting gas is 1/20, what is the expectation for the drilling company?
&Should the company sink the test well? Yes or No?

H)Find the requested probability.

P(A) if P(A) = 0.4