Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its license plates with digits allowed to repeat. (a) How many license plates are possible? (b) How many license plates are possible that begin and end with a 5?

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

Q: 7. You need to select a three-character password for a new online bank account. The rules are: you…

A: Permutation - The different arrangements of a given number of things by taking some or all at a…

Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

Q: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: How many numbers greater than 3000 can be form with the digits 0,2,3,4 a.  if repetition is not…

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Q: A combination lock consists of a dial with 40 numbers on it. To open the lock, you turn the dial to…

A: Given,Combination lock consists of a dial with 40 numbers.We have to turn the dial to the right…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: Suppose that license plates in a certain municipality come in two forms: two letters (A … Z)…

A: License plates in a certain municipality comes in two forms:two letters followed by two digits or…

Q: Suppose that a local area network requires six letters for user names Lower- and uppercase letters…

A: Local arear require six letter for user name & Lower and upper case letters are considered the…

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

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Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

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Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

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Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b. How…

A: The 3-digit numbers that can be formed from the digits 2, 3, 4, 6, 7 without repetitions are: 234,…

Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: A license plate in a certain county consists of 4 letters followed by 3 single digits.  How many…

A: Permutation is deals with arrangements. It is used to calculate the number of ways a certain number…

Q: Arealtor uses a lock box to store the keys to a house that is for sale. The access code for the lock…

A: The access code contains 4 digits          Digits : 0,1,2,3,4,5,6,7,8,9 The first digit can…

Q: Suppose we want to form four-digit numbers using the set of digits {0,1, 6, 7, 9}. For example, 9071…

A: The first number can be selected in 4 ways. [ Any number from {1,6,7,9} ] The second number can be…

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no…

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Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: license plates contain 3 letters followed by 4 digits. a. how many license plates are possible? b.…

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Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: 1. The license plates for cars in Nova Scotia typically have 6 digits. The first three digits are…

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Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: a) How many plates are possible when letters and numbers can repeat? Set up the expression that can…

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Q: How many posible 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

A: We have given that 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

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Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

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Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: Total available numbers = 9 To make 4 digit code

Q: To sign-in an account, suppose 0' to 9' numbers and 'A' to 'Z' alphabets with upper case and lower…

A: Total no. of numbers=10 Total no. of alphabets=52 (26 Upper case and 26 lower cases) No. of…

Q: Many banks require customers who use the automated teller machine (ATM) to enter a four-digit…

A: ATM machine needs four digit password before transaction.  digits : {0,1,2,3,4,5,6,7,8,9} digits can…