Fundamental Counting Principle
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.
Evaluation the given expression. 6C5
What is 6.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt an 8.
What is 1/13.
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.
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
How many different meals can be formed if you must include a main course, vegetable, beverage, and dessert.
What is 144.
9P3
What is 504.
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.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt the ace of diamonds.
What is 1/52.
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.
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.
A club with 19 members needs 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.
A health inspector must visit 4 of 12 restaurants on Monday. In how many ways can she pick the 4 restaurants?
What is 495.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond and a spade.
What is 0.
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.
A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 7 stocks?
What is 2187.
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.
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.
A fair coin is tossed 2 times in succession. The set of equally likely outcomes is {HH,HT,TH,TT}. Find the probability of getting a head on the second toss.
What is 1/2.
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.
How many five-digit odd numbers are possible if the leftmost digit cannot be zero?
What is 45,000.
In how many distinct ways can the letter of the word ROBBER be arranged?
What is 180.
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.
Assuming that it might not rain tomorrow or that it might not rain at all, the probability of it not raining is 0.5. Which of the answers below is the correct answer? (A) The statement does not make sense because probabilities are never divided evenly among outcomes.
(B) The statement does not make sense because an event can have different outcomes with different chances of each occurring.
What is B.