A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip codes are possible if there are no restrictions on the digits used? How many would be possible if the first number could not be 7? ..... How many zip codes are possible if there are no restrictions on the digits used?

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: In the original plan for area codes in 1945, the first digit could be any number from 2 through 9,…

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Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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Q: A website requires users to set up an account that is password protected. If the password format is…

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Q: USA today reported that about 20% of all people in the United States are illiterate. Suppose you…

A: Let success be defined as literate people. Probability i=of literate people (or success) is p=0.8…

Q: in a certain state, each standard automobile license plate number consist of two letters followed by…

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Q: If any seven digits could be used to form a telephone number, how many seven digit telephone numbers…

A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: A certain country's postal service currently uses 5 -digit zip codes in most areas. How many zip…

A: From the provided information, A certain country’s postal service currently uses 5-digit zip codes…

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: How many three-letter "words" can be made from 7 letters "FGHIJKL" if repetition of letters (a) is…

A: It is given that there are 7 letters available in “FGHIJKL”.   a). Since, the repetition of letters…

Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and…

A: 10 national leaders are to be seated at a round table at a summit. If the presidents of the US and…

Q: A certain country's postal service currently uses 6-digit zip codes in most areas. How many zip…

A: We have given that total 23 question are asked.  First question has 3 answer while remaining 22…

Q: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

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Q: In a different plan for area​ codes, the first digit could be any number from 0 through 3​ the…

A: Given Data: The first digit could be any number from 0 through 3 and  the second digit was either 3…

Q: In one state, each automobile license plate shows three letters followed by two digits, or two…

A: The number of letters in alphabet is 26. The number of digits from 0 to 9 is 10.

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different codes…

A: 6 letter A,B,C,D,E,F We have to make 5 digit code without repetition

Q: a. Viet Nam Airline has five flights from Ha Noi to Da Nang and six flights from Da Nang to Ho Chi…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: In Cavite, there is a certain breed of cat which has its first kitten on its second birthday and…

A: Consider the given information, So, we have, Number of kitten in 2006 is equal to 1. Number of…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: An ATM personal identification number (PIN) consists of four digits, each a 0,1,2,...,8, or 9, in…

A: The number of digits from 0 to 9 is 10.

Q: How many possible area codes are there in the United States? (Be sure to remove 411, 800,900, and…

A:

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: If radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given:  There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

Q: An overnight express company must include thirteen cities on its route. How many different routes…

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Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

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Q: If 4 out of 10 students at a college are full-time students, what is the enrollment at the college…

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Q: The numbers of users that check social media daily is the same for "35 to 44" and "45 to 54" age…

A: We have to analyze the bar graph.

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: How many 4-digit numbers can be formed from the digits 0,1,2,3,4,5,6,7 and 8, if each digit can be…

A:

Q: How many ten-digit telephone numbers are possible if the first three digits must all be different?

A: Given,total no.of digits=10  (0 to 9)

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

A: Given ,  In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…

Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit…

A: According to the given information The first digit of the card has two choices (4 or 6) Digits 2…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: If 6 out of 30 people over the age of 100 are male, Ho our of 30 people over the age of 100 are…

A: Given that The number of total people=30 Number of male over aged of 100 =6 Then we have to find the…

Q: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

A: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

Q: A certain country's postal service currently uses 5-digit zip codes in most areas. How many zip…

A: If No Restrictions on the digitSince country uses 5-digit codes and the digits are…

Q: A corporate ID number consists of any three numerical digits, followed by any two letters of the…

A: We have to  find the no. Of ways...

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  How many…

A: As per bartleby guidelines only one question should be answered once, please upload each question…

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.