A phone number is an ordered string of ten digits. Each digit is one of 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.
(a) How many phone numbers are there that do not contain any zeros?
(b) How many phone numbers are there that start with 216 or 440?
(c) How many phone numbers are there that start or end with 3?
(d) What is the smallest number of phone numbers that guarantee at least nine of them start with the same two digits?
A phone number is an ordered string of ten digits. Each digit is one of 0,...
Introduction: Ten digit ISBN numbers are created so that the first nine digits are information digits and the last digit is a check digit. T his last number helps people notice and correct mistakes that might be made in recording the information digits. The same is true for thirteen digit ISBN numbers. Here is a ten digit ISBN number: 0-13-149498-8. The digit 0 indicates the book is written for English-speaking people. The number 13 and the number 149498 identify the...
Write a function called "phoneNumberFormat" that takes a string containing a ten-digit phone number (such as 5155551212) as input, convert into a more readable string with parentheses and dashes like (515)555-1212 and display it. If the input string contains more than or less than ten characters, display an error message. Note: Steps of phoneNumberFormat function can be given as follows: def phoneNumberFormat (phoneNum): 1. Let l be the length of the phoneNum 2. If 1 does not equal 10 then,...
A 4-digit password is created out of digits {0, 1, 2, 3, 4, 5} with no restriction on repetitions or 2 zeros. How many passwords are there that contain at least one even digit? Examples of the include 233, 041, 002
3 digits are drawn independently and at random to obtain a 3-digit number. Each of the 3 digits can take integer values 1 through 9, with each integer being equally likely to be chosen. In other words, the 3-digit number can be from 111 through 999, but any 3-digit number that contains 0 is impossible. A. What is the chance that the 3-digit number is even? B. What is the chance that the 3-digit number has at least one digit...
In the US, telephone numbers are 7-digit long. While in general they have some restrictions, for example, they cannot start with 0 or 1, here we assume that all 7-digit sequences are possible, even 0000000. How many phone numbers: start or end with the two identical digits, for example 0012345, 1234511, or 2222222, contain a 5-digit consecutive substring. For example 0034567, 2567892, or 1234567 In the US, telephone numbers are 7-digit long. While in general they have some restrictions, for...
(12 points) A software function generates a random number N digits long. Each digit is determined by randomly selecting a value from 0 through 9. All ten values are equally likely, and different digits may have the same value. Determine the minimum length N such that there is at least a 50% probability that at least one digit will have the value 0.
Selec 3 digits from 0,1,2,...,5 to make a number. Each digit can be used once and the number cannot start from 0. How many possible numbers are there which are greater than 240?
1. Suppose a license plate number in this state can only contain capital letters and digits and can only be any string of the form: Letter-Letter-Letter-Digit-Digit-Digit-Digit How many license plate numbers are possible if no digit appears more than once?
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed and the number must contain the digit 3 somewhere. Hint: it may be easier to first count the numbers that don't contain the digit 3.
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once How many possible 3-digit numbers are possible? a) TOTAL: three of the digits are randomly chosen and randomly permuted in b) Assume order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event...