b) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix? c) As in part (a), how many three-digit phone pre- fixes are possible that do not start with 0 or 1, but contain 0 or 1 as the middle digit?

Q: How many different possible area codes are there if an area code is 3 digits long and cannot contain…

A: From the provided information, An area code is 3 digits long and cannot contain a 0 or have 1 or 9…

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: Q1) a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: a). There are 10 digits (0,1,2,3,...,9)  in total. If the first digit is filled with 1 or 2, then…

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: The possible number for passcode is as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 a) if the first digit…

Q: first digit of the phone number can not be a U?

A: Given 10 digit phone numbers are there in Montana with an area code of 406 the first digit of the…

Q: A catalog begins with three dlistinct letters +ollowed by four distinct nonzero digits. what is the…

A:

Q: 13. Prove that if the sum of digits of a number is divisible by 9, then so is the number.

A:

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

Q: Suppose that a researcher selects a sample of participants from a population. If the shape of the…

A: For the given statement Select the correct choice ?

Q: How many numbers can be created? b) How many of them are odd numbers? c) How many of them are…

A: Here given total 7 digits  From which 3 digit number is formatted

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: How many four-letter code words are possible using the letters in IOWA if, (a)The letters may not…

A:

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

A: Solution.

Q: how many passwords are there if you do not allow repeating digits? b.) How many passwords are there…

A: Since , the passwords are made by using 4 digits from 1-9. Total numbers=9 Password length=4 Our aim…

Q: On average, 3 traffic accidents per month occur at a certain intersection. What is the in any given…

A: Given that On average traffic accidents per month= 3 X ~ Poisson (3)

Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

A:

Q: The following sets of data show the height (in centimeters) of two groups boys playing basketball.…

A: Note: Please repost 2nd question as i can author only 1 question as per my policy.   1)Given data…

Q: 2) The Venn diagram shows how real numbers, rational numbers, irrational numbers, integers, and…

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: 3) The access code for the safe in my office consists of 4 digits.The first digit must be odd or…

A:

Q: c) A combination lock has 10 different single digit numbers to choose from and make a number with…

A: The number of total digits to choose in the lock are 10. The number of digits used to open the lock…

Q: How many 5-digit numbers (including leading 0s)are there with no digit appearing exactly two times?

A:

Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Solution: From the given information, 3-digit area code should be formed. The first digit do not…

Q: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

A:

Q: Before 1995, area codes for phone numbers had the following format: NNN, where first digit couldn’t…

A: Given that , Before 1995, area codes for phone numbers had the following format: NNN where (1) first…

Q: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

Q: Q)1 a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: Q1) a) There are 10 digits 0,1,2,3,4,5,6,7,8,9. The 3 digit passcodes must be formed such that first…

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A:

Q: to use an automated teller machine at a certain bank, you must enter a 6-digit code, using digits…

A: Suppose that the repetition of digits is permitted, there are  choices  for each digit in the -digit…

Q: 3. How many four-letter code words are possible from the letters in FOUR if a) the letters may not…

A: Here, we have to find the possible four-letter code words from the letters

Q: how many four-digit even numbers are possible if the leftmost digit cannot be zero? repitition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: 23 Find the number of permutations of all the letters of the word NOTEPAD if: a) the letters can be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given that a phone number consist of 3-digit area codes followed by sequence of 8-digit numbers. (a)…

Q: Finally, let us talk about 6 digit PIN numbers. (All entries are 0-9). a) In how many ways can we…

A: 6 digit pin _ _ _ _ _ _ There are 9 ways to fill 1st place since if we put 0 it will be considered 5…

Q: How many six-digit numbers can be formed with the numbers 0, 0, 1, 1, 2 and 2? (Note that a…

A: Given, Numbers - 0,0,1,1,2,2

Q: In how many integers greater than 0 and smaller than 10000 digit 5 appears exactly once?

A:

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…