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?

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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?

Solve the problem.In Morse code, each symbol is either a dot or a dash. How many sequences of 12 symbols are possible?

Find the expected value.A commercial building contractor is trying to decide which of two projects to commit her company to.  Project A will yield a profit of $50,000 with a probability of 0.6, a profit of $82,000 with a probability of 0.3, and a profit of $10,000 with a probability of 0.1. Project B will yield a profit of $100,000 with a probability of 0.1, a profit of $69,000 with a probability of 0.7, and a loss of $20,000 with a probability of 0.2. Find the expected profit for each project. Based on expected values, which project should the contractor choose?