Tell whether each situation is a permutation or combination.

How many ways can 5 people be arranged in a line?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many programs of 4 musical pieces can be made from 8 possible pieces?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many ways can a 3 -player team be chosen from 9 students?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many ways can 6 different flowers be chosen from 12 different flowers?

Ashley V.

Numerade Educator

A pizza shop has 12 toppings from which to choose. If 3 toppings are chosen randomly for a pizza, what is the probability that it is topped with pepperoni, onion, and sausage?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many ways can 6 cars line up for a race?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many different flags can be made from the colors red, blue, green, and white if each flag has three vertical stripes?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many ways can 4 shirts be chosen from 10 shirts to take on a trip?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many ways can you buy 2 DVDs from a display of $15 ?$

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many 3-digit numbers can you write using the digits $6,7,$ and 8 exactly once in each number?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

There are 12 paintings in a show. How many ways can the paintings take first, second, and third place?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many 5 -card hands can be dealt from a standard deck of 52 cards?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

How many ways can you choose 3 flavors of ice cream from a choice of 14 flavors?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

Twelve points are marked on a circle. How many different line segments can be drawn between any two of the points?

Ashley V.

Numerade Educator

Tell whether each situation is a permutation or combination.

Nine people gather for a meeting. Each person shakes hands with every other person exactly once. How many handshakes will take place?

Ashley V.

Numerade Educator

Use the information at the left.

FIGURE CAN'T COPY

Suppose you only have time to ride eight of the coasters. How many ways are there to ride eight coasters if order is important?

Ashley V.

Numerade Educator

Use the information at the left.

FIGURE CAN'T COPY

How many ways are there to ride eight of the coasters if order is not important?

Ashley V.

Numerade Educator

Use the information at the left.

FIGURE CAN'T COPY

What is the probability that the first two of the eight coasters you ride are the Millennium Force and the Top Thrill Dragster? Suppose you chose to ride the two coasters at random.

Ashley V.

Numerade Educator

In a best-of-three series, the first team to win 2 games wins the series. Two ways to win a best-of-three series are to win the first 2 games or lose the first game and win the next two games. How many ways are there to win a best-of-three series? a best-of-five series? a best-of-seven series?

Ashley V.

Numerade Educator

Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.

How many different 3 -rose combinations can be made from the 5 roses?

Ashley V.

Numerade Educator

Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.

What is the probability that 3 roses selected at random will include pink, white, and yellow?

Ashley V.

Numerade Educator

Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.

What is the probability that 3 roses selected at random will not include red?

Ashley V.

Numerade Educator

Suppose your cell phone uses a 4-digit personal identification number (PIN) to lock it from use.

How many PINs can you choose to lock your cell phone?

Ashley V.

Numerade Educator

Suppose your cell phone uses a 4-digit personal identification number (PIN) to lock it from use.

Use probability to explain how someone is unlikely to guess your PIN.

Ashley V.

Numerade Educator

Sindu thinks choosing five CDs from a collection of 30 to take to a party is a permutation. Amanda thinks it is a combination. Who is correct? Explain your reasoning.

Ashley V.

Numerade Educator

Is the value of $P(x, y)$ sometimes, always, or never greater than the value of $C(x, y) ?$ (Assume $x \neq 1, y \neq 1$, and $x \neq y$.)

Ashley V.

Numerade Educator

Determine whether the following statement is always true. If it is not, provide a counterexample.

Ashley V.

Numerade Educator

Writing in Math Why is order sometimes important when determining outcomes? Give an example of a situation where order is important and one where order is not important.

Check back soon!

When the Rockets win a basketball game, the 12 players on the team give each other high-fives. How many distinct high-fives are given?

A 24

B 36

C 66

D D96

Ashley V.

Numerade Educator

How many different slates of officers could be made if a slate consists of one candidate for each office?

$$\begin{array}{|c|c|c|}

\hline \text { President } & \text { Secretary } & \text { Treasurer } \\

\hline \text { Marina } & \text { Glenn } & \text { Ariel } \\

\text { Mima } & \text { Sung } & \text { Sherita } \\

\text { Nestor } & & \text { Westey } \\

\hline

\end{array}$$

Ashley V.

Numerade Educator

GAMES How many outcomes are possible for rolling three number cubes?

Ashley V.

Numerade Educator

Find the probability of choosing a girl's name at random from 20 girls' names and 50 boys' names. Round to the nearest tenth percent. (Lesson 12 - 7)

Ashley V.

Numerade Educator

Use the histogram. (Lesson $12-4$ )

How many years are there in each interval?

Ashley V.

Numerade Educator

Use the histogram. (Lesson $12-4$ )

Which interval has the greatest number of animals?

Ashley V.

Numerade Educator

Use the histogram. (Lesson $12-4$ )

How many of the animals in the histogram have a life span of more than 20 years?

Ashley V.

Numerade Educator

Solve each inequality. Then graph the solution on a number line.

$$2 a-3 \geq 9$$

Ashley V.

Numerade Educator

Solve each inequality. Then graph the solution on a number line.

$$4 c+4>32$$

Ashley V.

Numerade Educator

Solve each inequality. Then graph the solution on a number line.

$$-2 y+3<9$$

Ashley V.

Numerade Educator

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$

$$\frac{2}{3} \cdot \frac{3}{6}$$

Ashley V.

Numerade Educator

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$

$$\frac{1}{3} \cdot \frac{1}{3} \cdot \frac{1}{3}$$

Ashley V.

Numerade Educator

Find each product. $$\frac{1}{6} \cdot \frac{1}{3}$$

$$\frac{3}{8} \cdot \frac{2}{7} \cdot \frac{1}{6}$$

Ashley V.

Numerade Educator