Suppose you have to create a password consisting of seven letters followed by two digits. The letters cannot be repeated but the digits can be repeated. a) How many possible such passwords can you create? b) If you insist on alternating consonants with vowels (do not count “y” as a vowel), starting and ending the string of letters with consonants, and making the two digits at the end a prime number greater than 23, then how many passwords can you create now?
Suppose you have to create a password consisting of seven letters followed by two digits. The...
A password must begin with two letters followed by four digits. What is the number of possible passwords of this type if characters may be repeated?
A password consists of three letters followed by a two-digit number. (a) How many passwords are possible if there are no restrictions? 1757600 (b) How many passwords are possible if none of the letters or digits can be repeated? (c) What is the probability of guessing the password in one trial if there are no restrictions? O A. 0.0000007123 O B. 0.0000005690 O C. 0.2 O D. 0.798816568
There are 21 consonants and 5 vowels in English. We wish to make a 4 letter combination as a password for an email account with 3 consonants and 1 vowel (assume all letters are lowercase, and no letter is repeated) How many different passwords can you make?
A 5-character password must start with a letter followed by 4 digits. How many passwords are possible? (Digits and letters may be repeated).
You need to have a password with 4 letters followed by 4 even digits between 0 and 9 , inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?
You need to have a password with 5 letters followed by 3 odd digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password
A password or PIN consisting of a string of exactly five digits is randomly generated. How many such passwords have exactly one digit being repeated once ?
If the password can contain upper/lower case letters, digits, or any of eight special symbols: (Note: leave answers in exponent or simplified factorial form) How many different 8-character passwords are possible if characters cannot be repeated?
A password consists of one letter followed by a five-digit number. A) How many passwords are possible if none of the letters or digits can be repeated? B) What is the probability of guessing the password in one trial if there are no restrictions? (To find the probability use the definition of classical probability.)
Consider a set of letters consisting of 4 different vowels (including e) and 8 different consonants (including b). How many different 5-letter sequences can be formed using 2 vowels and 3 consonants (with no repeated letters) (a) containing b? (b) beginning with b? (c) beginning with e? (d) beginning with e and containing b?