Combinations, Permutations, Factorials

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!

• 120

• 20

• 3!

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

• 3

• 6

• 1

The golf club can send a team of four students to the next golf tournament. If there are 15 students in the club, how many different teams of four can be selected?

• 1365

• 259459200

• 60

• 50625

There are 18 students playing Quizizz in math class. How many ways can they win the gold, silver, and bronze places on the podium?

• 54

• 816

• 5832

• 4896

What is the total number of different 10-letter arrangements that can be formed using the letters in the word SUSPICIOUS?

• 3,628,800

• 302,400

• 151,200

• 604,800

What is the difference between permutations and combinations?

• There is no difference.

• Combinations mean that order matters.

• Permutations mean that order matters.

• Factorials are very exciting numbers!

• Fundamental Counting Principle

• Combination

• Factorial

• Permutation

A six-sided number cube is rolled AND a card is drawn from a standard deck. Find the total number of outcomes possible.

• 58

• 312

• 16

• 32

A math quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the questions.

• 40

• 32768

• 390,625

• 6435

How many different 12-letter arrangements can be made using the letters in the word CARELESSNESS?

• 19958400

• 479001600

• 3326400

• 79833600