Counting Rules and Probability

A committee of 4 students needs to be formed from a group of 10 students. How many different committees can be formed?

• 210

• 15

• 120

• 45

If you have 7 different colored shirts and you want to wear 2, how many different combinations of shirt colors can you have?

• 35

• 14

• 21

• 10

What is the probability of rolling a 5 on a fair six-sided die?

• 1/4

• 1/3

• 1/6

• 1/5

If you have 5 red marbles, 3 blue marbles, and 2 green marbles in a bag, what is the probability of drawing a blue marble?

• 3/10

• 4/7

• 1/5

• 2/10

Are getting a head and getting a tail when flipping a coin mutually exclusive events?

• No

• Yes

How many ways can you arrange the letters in the word 'MATH'?

• 20

• 24

• 12

• 16

If you have 8 books and you want to arrange them on a shelf, how many different ways can you do this?

• 40320

• 56

• 40,320

• 720

If you have 6 different toppings for your pizza and you can choose 3, how many different combinations of toppings can you have?

• 20

• 24

• 18

• 15

A password consists of 4 digits where each digit can be 0-9. How many different passwords are possible?

• 1234

• 10,000

• 1000

• 9999