Stats 3.1 Check in

The library labels each book with a five-digit code to identify the book in their computer system. Each code is 3 digits (0-9) followed by two letters. How many codes are possible?

• 468

• 492,804

• 527,000

• 676,000

A test has 30 multiple choice questions with 4 choices each. Which expression represents the total number of ways to answer the questions?

• 4³⁰

• 30⁴

• ₃₀P₄

• 4 $\cdot$  30

In a card game, each player is dealt a hand of 7 cards from a deck of 52 playing cards. Which expression represents the number of hands possible?

• 7! $\cdot$ 52!

• $\frac{52!}{7!}$

• $_{52}P_7$

• $\ _{52}C_7$

How many different ways can the 11 letters in the word PROBABILITY be arranged?

• 1,663,200

• 7,241,600

• 9,979,200

• 39,916,800

A die is rolled then a letter in the word STATISTICS is randomly selected. What is the probability of rolling at least a three, then the letter S?

•  $\frac{1}{5}$  

•  $\frac{1}{4}$  

•  $\frac{3}{20}$  

•  $\frac{29}{30}$  

A coach needs to choose two players from the hockey team to be captain and assistant captain. If there are 20 players on the team, how many ways can he assign the two roles?

• 100

• 190

• 380

• 450

A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it, then selects another.

Find P(a green apple then a nectarine)

• $\frac{23}{63}$

• $\frac{5}{162}$

• $\frac{13}{36}$

• $\frac{2}{63}$