Counting Principle/Permutations and Combinations

Melanie is taking four classes this semester: American History, Algebra 2, AP English, and Chemistry. How many ways can these four classes be arranged on her schedule?

• 24

• 153

• 765

• 824

An internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9. How many different passcodes are possible?

• 6,200

• 4,000

• 2,600

• 8,000

Which line is longer?

• Top
• Bottom
• Same

Grant is rolling a standard six-sided number die eight times. How many outcomes are possible?

• 5,879,626

• 6,579,598

• 1,679

• 1,679,616

A quiz has eight multiple choice questions with four options for each (A, B, C, and D). How many ways are there to answer the questions?

• 4⁸

• 8⁴

• 4!

• 8!

What way do the arrows point?

• Left
• Right
• Up
• Left and right

When Jack bought his new truck, there were 96 different ways his truck could be equipped. He had four choices of engines and two choices of transmissions. If the only other choice was color, how many colors were available?

• 11

• 12

• 13

• 14

₂₀P₄

• 6,435

• 720

• 116,280

• 80,730

Who's the new guy in Right Field?

• JT Reamuto

• Aaron Nola

• Bryce Harper

• Pat Burrell

₁₅C₈

• 96

• .003

• 95,361

• 6,435