Calcuus 5.1-5.2 Counting principle, Perm and Comb

You and a group of friends love to go to the movies. You always purchase popcorn, soda, and candy. You can choose from buttered or unbuttered popcorn, five different kinds of soda, and 18 different kinds of candy. Determine the number of possible configurations. You have three pairs of jeans, five t-shirts, and two pairs of shoes. Determine the numbers of possible outcomes. How many distinguishable ways can the letters PRECAL be written? Eight horses are running a race. How many different ways can these horses come in first, second, and third? Eight people are boarding an aircraft. Two have tickets for first class and board before those in the economy class. In how many ways can the eight people board the aircraft? In a certain state, each automobile license plate number consists of two letters followed by a four-digit number. How many distant license plate numbers can be formed? Type your answer with commas In a certain state, each automobile license plate consists of three numbers followed by three letters. How many distinct license plate numbers can be made with no repeat letters. Type the answer using commas How many four digit numbers can be formed when the leading digit cannot be zero? How many four digit numbers can be formedwhen the leading digit cannot be zero andno repetition of digits is allowed? How many four digit numbers can be formedwhere the leading digit cannot be zero andthe number must be less than 5000? How many different ways can a committeeof three be selected from a club of 40 people? How many ways can six people sit in a six-passenger car? How many ways can eight people sit in aminivan if there are only 4 possible drivers? Type your answers with commas There are 50 numbers in a particular state lottery. In how many ways can a player select six numbers? Type your answer using commas The CEO of a company interviews ten people for four openings. Four of the applicants are women. If all ten are qualified, in how many ways can the CEO fill the four positions if the selection is random. The CEO of a company interviews ten people forfour openings. Four of the applicants are women.If all ten are qualified, in how many ways can theCEO fill the four positions if exactly two selectionsare women? |

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