Study Pascal's triangle. Describe the symmetry that the numbers in the triangle have.

Evaluate:

a. 2!

b. 3 !

c. 4 !

Draw a Venn diagram and shade the region representing the set given in part (a). Then draw a separate Venn diagram and shade the region representing the set given in part (b).

a. $P \cap Q$

b. $P \cup Q$

Give the expansion of the binomial. Simplify your answer.

a. $(a+b)^3$

b. $(20+1)^3$

c. $(20-1)^3$

Evaluate:

a. 5!

b. 6 !

c. 7 !

d. 0 !

Find the value of expression.

a. ${ }_5 P_2$

b. ${ }_5 C_2$

Draw a Venn diagram and shade the region representing the set given in part (a). Then draw a separate Venn diagram and shade the region representing the set given in part (b).

a. $P \cap Q$

b. $P \cup Q$

Three identical door prizes are to be given to three lucky people in a crowd of 100. In how many ways can this be done?

Evaluate:

a. 2!

b. 3 !

c. 4 !

Let f be a function that gives the cost to rent a power washer for x hours. The cost is a flat $45 for renting the washer, plus$20 per day or fraction of a day for using the washer.

(a) Graph f.

(b) Give the domain and range of f.

(c) John McDonough wants to rent the washer, but he can spend no more than $90. What is the maximum number of days he can use it?

A video game store has a $15 membership fee and rents games for$3.25 each. Use a graphing calculator to graph C = 15 + 3.25g, which gives your cost C if you rent g games. How many games can you rent if you have $45 to spend?

On a coordinate plane, draw a curve that has the indicated property.

The curve is the graph of a function and the points $P(1,4)$ and $Q(5,4)$ are on the graph.

If the area under the standard normal curve between 0 and Z is 0.4, what is the area under the curve between -Z and 0?

Draw the condensed structural formula for the following: ethyl pentanoate