Depending on the day, an ice cream shop offers seven to nine possible ice cream flavors and three to four possible sauces. A ?Deluxe Sundae consists of two different types of ice cream and two different sauces. Which of the following could be the number of different Deluxe Sundaes that Eva can order?Indicate all possible values.

Six state governors meet at an annual convention. They line up in random order to pose for a photograph. If the governors of Alaska and Hawaii are among the six governors, how many different ways can the governors line up for the picture so that these two governors are adjacent?

If Jeff has four movies, and must choose to watch either 1, 2, or 3 different movies, which of the following represents a possible number of different arrangements of movies that Jeff could watch?Indicate all possible values.

Jess has nine different statues and chooses three to arrange in a display. How many arrangements can she make?_____

Of a group of 10 PTA members, a committee will be selected that has 1 president and 3 other members. How many different committees could be selected?_____

Esteban`s restaurant offers a lunch special. A customer can order a platter consisting of four different small dishes from a selection of twelve choices. How many different platters can a customer create?

Kate and Chad are planning their wedding dinner and must select 3 of 12 entrees and 2 of 3 desserts for their guests to be able to choose from. How many different combinations of offerings are possible?_____

For her Halloween display, Margaret plans to arrange a row of alternating witch and ghost figurines. The row must begin with a witch figurine and end with a ghost figurine. Margaret plans to purchase either three of each type of figurine or four of each type of figurine, and each figurine will look unique. Depending on how many figurines she purchases, which of the following could be the number of ways that she could arrange her display?Indicate all possible values.

There are six cars in a motorcade. How many different arrangements of cars in the motorcade are possible?

Mark can take three friends with him on a vacation and is listing the possible combinations of friends. If he has five friends to choose from and is numbering each possible combination sequentially beginning with 1, which of the following numbers will appear on his list of combinations?Indicate all possible values.

Twelve runners enter a race to compete for first, second, and third place. How many different combinations of winners are possible?_____

Sherry supervises a crew of maintenance engineers for an office building. If there are 5 experienced maintenance engineers and 3 apprentice engineers and the engineers are sent out on jobs in teams, which of the following must be true?Indicate all possible values.

All employees at Company W are assigned unique employee ID codes that consist of numbers and letters from the alphabet. If letters can be repeated within the same code but numbers cannot, which of the following must be true?

For his birthday, Brian will receive either three or four differently colored ties, either two or three differently colored shirts, and either one or two differently colored jackets. Depending on how many ties, shirts, and jackets he receives, which of the following values could be the number of ways he could make an outfit with one tie, one shirt, and one jacket?Indicate all possible values.

Paul and Allen are choosing ties out of a selection of three distinct red ties, five distinct green ties, and six distinct blue ties. If Paul and Allen each wear one tie, how many different ways could they wear ties of the same color?_____

a < 0

$$z^4=96$$

What is the value of $$3^(3a)$$2,when a = 2?


Quantity A$$\frac{5^{15}}{5^{5}}$$ Quantity B$$\frac{5^{18}}{5^{6}}$$
