5.2 Combinations & Permutations

Multiple Choice

PERMUTATION or COMBINATION?

A bicycle shop owner has 12 mountain bikes in the showroom. He is taking 5 of them to a show.

• Permutation

• Combination

Multiple Choice

Which is the correct assignment of n and r?

A bicycle shop owner has 12 mountain bikes in the showroom. He is taking 5 of them to a show.

• n = 12, r = 5

• n = 5, r = 12

Math Response

A bicycle shop owner has 12 mountain bikes in the showroom. He is taking 5 of them to a show. How many different ways can a group of 5 be selected?

Type answer here

Correct Answer: 792

Deg^°

Rad

Multiple Choice

A bicycle shop owner has 12 mountain bikes in the showroom. He is going to line 5 of them up in a display window. How many different ways can he order the bikes?

Is this a Permutation or Combination problem?

• Permutation

• Combination

Multiple Choice

A bicycle shop owner has 12 mountain bikes in the showroom. He is going to line 5 of them up in a display window. How many different ways can he order the bikes?

Which is the correct assignment of n and r?

• n = 12, r = 5

• r = 12, n = 5

Math Response

A bicycle shop owner has 12 mountain bikes in the showroom. He is going to line 5 of them up in a display window.

How many different ways can he order the bikes?

Type answer here

Correct Answer: 95040

Deg^°

Rad

Multiple Choice

 In how many ways can a jury of 6 men and 6 women be selected from a panel of 10 women and 12 men?

Is this a Permutation or Combination problem?

• Permutation

• Combination

Math Response

 In how many ways can a jury of 6 men and 6 women be selected from a panel of 10 women and 12 men?

Type answer here

Correct Answer: 199584

Deg^°

Rad

Multiple Choice

How many ways can a class schedule be arranged when selecting 8 classes from the 28 classes available?

Is this a Permutation or a Combination problem?

• Permutation

• Combination

Multiple Choice

How many ways can a class schedule be arranged when selecting 8 classes from the 28 classes available?

• $$1.25\ \times\ 10^{11}$$

• 1.25

Drag and Drop

How many distinguishable ways are there for the letters in the word MISSISSIPPI to be arranged?

Identify the number of each element in the problem:

n =

Placeholder

, # m =​ ​

Placeholder

, # i = ​

Placeholder

, # s =​

Placeholder

, # p =​

Placeholder

Drag these tiles and drop them in the correct blank above

11

1

4

2

Multiple Choice

How many distinguishable ways are there for the letters in the word MISSISSIPPI to be arranged?

Which is the correct way to set up the formula?

• $$\frac{11!}{\left(4!\times4!\times2!\right)}$$

• $$\frac{11}{4\times4\times2}$$

• $$11\ P\ 10$$

• $$\frac{11!}{10!}$$

Math Response

How many distinguishable ways are there for the letters in the word MISSISSIPPI to be arranged?

Type answer here

Correct Answer: 34650

Deg^°

Rad

Math Response

How many distinguishable ways are there for the letters in the word PARALLEL to be arranged?

Type answer here

Correct Answer: 336

Deg^°

Rad

Multiple Choice

Arlecia is putting together a display of the jewelry she made. She has 10 necklaces, 14 pairs of earrings, 6 bracelets, and 5 rings. In how many ways can she arrange her display?

Which is the correct setup for to formula?

• $$\frac{14!}{\left(10!\times6!\times5!\right)}$$

• $$\frac{35!}{\left(10!\times14!\times6!\times5!\right)}$$

Multiple Choice

Arlecia is putting together a display of the jewelry she made. She has 10 necklaces, 14 pairs of earrings, 6 bracelets, and 5 rings. In how many ways can she arrange her display?

• $$0.278$$

• $$3.78\times10^{17}$$

• $$0.008$$

Multiple Select

Do you prefer the QUIZIZZ lessons, like this one, or the PEAR DECK lessons, like the one on Friday?

• QUIZIZZ

• PEAR DECK

• BOTH

• NEITHER