Question

1. The access code for a car's security system consists of four digits. be zero and the last digit must be even. How many different codes are consists of four digits. The first digit cannot many different codes are available? 2. Decide whether each object is a permutation or a combination a) a telephone number b) a social security number c) a hand of cards in poker d) a committee of politicians e) the "combination" on a student gym locker combination lock 1) a lottery choice of Six numbers where the order does not matter g) an automobile license plate number h) an internet password 3. How many permutations are there of the letters in the word intelligible 4. From a pool of 25 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many different ways can the offices be filled? (Order is important) 5. A shipment of 150 television sets contains three defective units. Determine how many ways a vending company can buy three of these units and receive a) No defective units, b) all defective units (Order is not important) 6. Decide whether the random variable X is discrete or continuous. Explain your answer a X represents the number of stocks in the Dow Jones Industrial Average that have share price increases on a given day. n X represents the volume of bottled water in a 32-ounce container. nunhahility distribution on the number of books a customer entering

Answer 1

1201 g automobile license plate no. will be pernuetation Since the adning of no on plate is important " o internet letters pasword is a permutation as is important. 3 Total - Where pemutations of letters in a word = My! Iz... Treba mi total no. of letters ri= no. of times a letter is repeated. in intelligible', permutation = 12! 311)114311/11 : 6652800 Possible candidates ; 25 . Thus, we have to choose 4 candidates our of 25 such that the order to of candidates (ie. post and candidate selected for that post) is important Therefore, total no. of different ways can = 303,600