Solve the problem.A musician plans to perform 5 selections for a concert. If he can choose from 7 different selections, how many ways can he arrange his program?

Solve the problem.In a certain lottery, 3 different numbers between 1 and 8 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is unimportant.

Provide an appropriate response.The permutation formula can be used to determine which of the following?A: The number of ways of completing a test consisting of 10 true/false questionsB: The number of ways of arranging 8 people in a lineC: The number of ways a panel of people could vote if each person votes yes or no

Find the expected value.In a large casino, the house wins on one of its games with a probability of 50.5%. All bets in the game are  1:1 . If you win, you gain the amount you bet; if you lose, you lose the amount you bet. What is the expected value to the player of a single game?

Choose the appropriate answer:

Solve the problem.How many 4-letter passwords can be formed from the letters P, A, Y, M, E, N, T if no repetition of letters is allowed?

Solve the problem.Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3,000 tickets are sold at $1.00 each, find the expected net winnings for a person who buys 1 ticket.

A game consists of laying a $1 bet and taking a single card from a dealer (the house) working with a 54-card deck, which includes two jokers. If the card is clubs, the player gets their $1 back and wins an additional $3. If the card is not clubs, the player loses their $1 bet. What is the house edge (the expected value to the house)?

Solve the problem.8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected?

Solve the problem.A tourist in France wants to visit 11 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?