Counting Outcomes Review

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

• 4096
• 24
• 1296
• 10

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

How many different three digit alarm codes can be formed for the house alarm if the first digit must be 3, 5 or 7, and all other digits can be any number but numbers cannot repeat.

• 300
• 3000
• 270
• 22

Tags

CCSS.HSS.CP.B.9

How many arrangements are possible with the letters in the word LEPRECHAUN?

• 362,880
• 302,400
• 3,628,800
• 1,814,400

How many outcomes are there for a quiz that has 5 true-false questions?

• $2\cdot5=10$

• $2\cdot2\cdot2\cdot2\cdot2=32$

• $2+2+2+2+2=10$

• $5+5+5+5+5=25$

How many different deluxe skateboards are possible from 10 choices of decks, 8 choices of trucks (the axles that hold the wheels on), and 12 choices of wheels?

• $10\cdot8\cdot12=960$

• $10+8+12=30$

• $10+8=18\ \ \ \rightarrow\ \ \ \ 18\cdot12=216$

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

Tags

CCSS.HSS.CP.B.9

How many different ways can 9 people line up for a picture?

• 362 880

• 40 320

• 387 420 489

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

Tags

CCSS.HSS.CP.B.9

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

• 95 040

• 792

• 60

Tags

CCSS.HSS.CP.B.9