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
A 4-digit password is created out of digits {0, 1, 2, 3, 4, 5} with no...
A password consists of 4 letters among 26 lower-case English alphabet letters and 10 digits: 0,1,...,9. (i) How many different passwords that contain at least one digit can be formed? (ii) How many different passwords that contain at least one digit and at least one letter can be formed?
If you have the digits 0-6 and there is no restrictions on repetitions and/or zeros, calculate how many possible 4 digit arrangements you can have that contain at least one even digit. Show work
If you have the digits 0-6 and there is no restrictions on repetitions and/or zeros, calculate how many possible 4 digit arrangements you can have that contain at least one even digit. Show work
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can be formed from them: (a) If no digit may be repeated. (b) If repetitions of a digit are allowed. (c) If the number must be even, without any repeated digit. (d) If the number must be even.
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...
Given the digits 5, 4, 2, 0, 3, 7, 9, 6, 8. How many three-digit number codes can be formed if the hundreds place must be even and the ones place is at least 5? No repition
discrete math. pls provide a clear explanation. thanks A password is required to be 12 to 16 characters in length. Characters can be digits (0-9), upper or lower-case letters (A-Z, a-z) or special characters. There are 10 permitted special characters. There is an additional rule that not all characters can be letters (i.e. there has to be at least one digit or one special character) ow many permitted passwords are there? Give your answer in un evaluated/un·simplified form and explain...
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
5. A hacker is trying to guess a password. They have worked out that the password has length 8, being a mix of 1 uppercase letter (from {A. . . . ,7), 5 lowercase letters (from {a, . . . ,:) and 2 digits (from 10,...,91). They do not know in which order these symbols occur in the password. [In this question, answers may be given as a product of integers, without evaluating further.] a) How many passwords fit this...
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in 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...