QUIZ - Permutation/Combinations/Counting Principle

How many license plates consisting of three letters followed by three numbers are possible when repetition is NOT allowed?

• 26 x 25 x 24 x 10 x 9 x 8

• 26 x 26 x 26 x 10 x 10 x 10

• 26 x 25 x 24 x 9 x 8 x 7

• 26 x 26 x 26 x 9 x 9 x 9

• 26! x 10!

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• 26 x 26 x 26 x 10 x 10 x 10

• 26 x 25 x 24 x 10 x 9 x 8

• 26 x 26 x 26 x 9 x 9 x 9

• 26 x 25 x 24 x 9 x 8 x 7

• 26! x

In how many different ways can 4 different books be arranged on the shelf?

• 4!

• 4 x 4 x 4 x 4

• 4 + 3 + 2 + 1

• 4 + 4 + 4 + 4

• 4

A book club lets people order any 8 books from a list of 40.

How many different groups of 8 books can members choose?

• ₄₀P₈

• ₄₀C₈

• 40! x 8!

• 8 x 40

• 40 x 39 x 38 x 37 x 36 x 35 x 34 x 33

How many ways can you choose 5 drinks out of 10 drinks and 7 snacks out of 13 snacks to pack a bag for a trip?

• ₁₀C₅ x ₁₃C₇

• ₁₀P₅ x ₁₃P₇

• 5 x 10 x 7 x 13

• 5! x 7!

• 10! x 13!

How many 5-card hands contain 3 spades?

• 52C3

• 13C3 x 39C2

• 13C3 x 52C2

• 13C3

• 5C3

How many 5-card hands contain 2 red cards?

• 26C2 x 26C3

• 52C2

• 26C2

• 26C2 x 52C3

• 52C2 x 52C3

How many ways could gold, silver, and bronze medals be awarded in a race with 10 participants?

• 10P3

• 10C3

• 3!

• 10!

• 10 x 3

15P5 is the same as

• 15 x 14 x 13 x 12 x 11

• 15! x 5!

• 15 x 5

15C5 is the same as

• 15 x 14 x 13 x 12 x 11

• 15! x 5!

• 15 x 5