Probability, Outcomes, Combinations and Permutations

The golf club can send a team of four students to the next golf tournament. If there are 15 students in the club, how many different teams of four can be selected?

• 24

• 60

• 1,365

• 32,760

There are 18 skaters competing in the competition. How any ways can they win the gold, silver, and bronze medals?

• 6

• 54

• 816

• 4,896

What is the total number of different 10-letter arrangements that can be formed using the letters in the word SUSPICIOUS

• 151,200

• 302,400

• 604,800

• 3,628,800

A six-sided number cube is rolled and then a card is drawn from a standard 52 card deck. Find the total number of outcomes.

• 58

• 312

• 20,358,520

Working with a standard 52 card deck, what is the number of possible 5-card hands that contain at least three kings?

• 48

• 1128

• 4512

• 4560

The manager of Burtons must choose 6 employees from a group of 11 for a promotion. How many different selections can be made?

• 66

• 462

• 720

• 332,640

A committee consists of 10 Republicans and 8 Democrats. In how many ways can a sub-committee be chosen if it has 5 Republicans and 4 Democrats.

• 1,600

• 11,760

• 17,640

• 50,803,200

A coin is tossed two times, then a month of the year is randomly selected. What is the probability of getting tails each time, and then a month that starts with the letter J?

A bag contains 40 slips of paper numbered 1 - 40. If one is randomly chosen, what is the probability of NOT choosing a multiple of 3?

• 13

• 27

A five card hand is chosen from a standard 52-card deck. What are the number of possible five card hands containing 3 kings and 2 aces?

• 10

• 24

• 23,426

• 29,304,600