Section 4.4 Counting Rules Practice

What is 4! called?

• Fabulous Four

• Final Four

• Four Factorial

• Four Factored

Simplify this

• 6

• 30

• 1/5

• 1/6

Simplify this

• 90

• 2

• 1/2

• none of these

How do you find the probability of selecting a group of 3 students from a class of 28 students?

• Permutation: ₂₈P₃

• Combination: ₂₈C₃

• Factorial: 3!

• 3! / 28!

12 people enter a race. How many different ways can the 12 people finish the race?

• Permutation: ₁₂P₁₂

• Combination: ₁₂C₁₂

• Factorial: 12!

• 12 * 12 * 12....

20 people are on a committee. How many ways can a president, vice president, and secretary be selected?

• Permutation: ₂₀P₃

• Combination: ₂₀C₃

• Factorial: 20!

• Factorial: 3!

A restaurant has 8 entrees, 5 side dishes, and 4 dessert options. How many ways can you select one entree, one side dish, and one dessert?

• 8!

• 8 + 5 + 4 = 17

• 8 * 5 * 4 = 160

• 3

₇P₂

• 0
• 7
• 42
• 210

₁₂P₄

• 24
• 132
• 1320
• 11880

Does order matter in combination?

• Yes
• No