Fundamental Counting Principle
Permutations
Permutations and Combinations
Two Way Tables
Probability
100
A restaurant offers 8 appetizers and 11 main courses. In how many ways can a person order a two-course meal?
What is 88.
100
There are 9 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the last stand-up comic act of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?
What is 40,320.
100
Evaluation the given expression. 6C5
What is 6.
100

What is the probability of choosing a fresh orange?

What is 16/83

100
Ian, Sarah, Maria, Simone, and Kim have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. Find the probability that Ian will arrive first and Kim last.
What is 1/20.
200
A restaurant offers the following limited lunch menu. Main Courses: Beef, Pork Roast, Duck, Quiche Vegetables: Peas, Squash, Cauliflower, Eggplant Beverages: Coffee, Tea, Milk Desserts: Cake, Pie, Sherbert
What is 144.
200
9P3
What is 504.
200
An election ballot asks voters to select five city commissioners from a group of eighteen candidates. In how many ways can this be done?
What is 8,568.
200

What is the joint relative frequency of selecting a frozen apple?

7%

200
Six stand-up comics, A, B, C, D, E, and F, are to perform on single evening at a comedy club. The order of performance is determined by random selection. Find the probability that Comic D will perform last and Comic F will perform first.
What is 1/30.
300
A person can order a new car with a choice of 15 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?
What is 240.
300
A club with 19 members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
What is 5814.
300
A health inspector must visit 4 of 12 restaurants on Monday. In how many ways can she pick the 4 restaurants?
What is 495.
300

What is the probability of choosing a strawberry given that it was frozen?

What is 8/19?

300
A hand consists of 5 cards from a well-shuffled deck of 52 cards. A club flush is a 5-card hand consisting of all club cards. Find the probability of being a dealt a club flush. (Round to six decimals places as needed.)
What is 0.000495.
400
A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 7 stocks?
What is 2187.
400
At a benefit concert, thirteen bands have volunteered but there is only enough time for six of the bands to play. How many lineups are possible?
What is 1,235,520.
400
How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, G, and H if no repetition of letters is allowed?
What is 1680.
400

What is the probability of choose an apple or orange given it was a fresh piece of fruit.

3/8

400
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting three queens and one king.
What is 0.000059.
500
How many five-digit odd numbers are possible if the leftmost digit cannot be zero?
What is 45,000.
500
In how many distinct ways can the letter of the word ROBBER be arranged?
What is 180.
500
Using 9 flavors of ice cream, how many cones with 3 different flavors can you create if it is important to you which flavor goes on the top, middle, and bottom?
What is 504.
500

What is the joint relative frequency of choosing an apple given that it was frozen?

What is 31%

500
The digits 1,2,3,4, and 5 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 500.
What is 1/10.
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