Combination, Permutation, Probability

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

• A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

• Factorial

• The principal would like to assemble a committee of 8 students from the 12-member student council.

• Combination

• Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

• Permutation

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination

Which of the following methods would NOT be a good way to solve the following problem?

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• Permutation

• Counting Principles

• Factorial

• Combination

How many ways can you arrange 7 books on a shelf?

• 7

• 49

• 343

• 5,040

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324

• 4,896

• 816

• 54

How many different permutations can be made from the letters of the word COMMUNICATION?

The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

• 15

• 18

• 54

• 729

A fair quarter is flipped three times. What is the probability of getting two or more heads?

• 37.5%

• 12.5%

• 50%

• 66.7%

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

• 2/52
• 4/52
• 16/52
• 26/52

Tags

CCSS.HSS.CP.B.7

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7
• 1/7
• 2/7
• 1

Tags

CCSS.HSS.CP.B.9