Coderally workshop 5

How many different 3-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetition is allowed?

• 60

• 100

• 125

• 150

A restaurant offers 3 appetizers, 5 main courses, and 4 desserts. How many different 3-course meals can be ordered?

• 12

• 60

• 75

• 120

In how many ways can a committee of 3 people be selected from a group of 8 people?

• 336

• 56

• 24

• 8

A box contains 5 red balls and 3 blue balls. In how many ways can 2 red balls and 1 blue ball be drawn?

• 30

• 20

• 15

• 10

In how many ways can 4 people be seated in a row?

• 12

• 24

• 48

• 96

A club has 10 members. How many different ways can a president, vice-president, and secretary be chosen?

• 120

• 720

• 5040

• 362880

In how many ways can 5 people be divided into two groups of 3 and 2 people respectively?

• 10

• 20

• 30

• 40

A coin is tossed 3 times. What is the probability of getting exactly 2 heads?

• 1/8

• 1/4

• 3/8

• 1/2

A card is drawn from a standard deck of 52 cards. What is the probability of drawing a red king?

• 1/13

• 1/26

• 2/13

• 4/13

A box contains 4 red balls and 6 blue balls. Two balls are drawn without replacement. What is the probability that both balls are red?

• 2/15

• 1/5

• 2/5

• 3/5