For some particular website, the password must start with one of the letters A, B or C. Then there must be 5 more characters and each of those characters must be a numeric digit or a lower case letter of the alphabet. Find the number of different passwords.

Q: A password consists of 4 characters, the first 2 being letters in the (English) alphabet and the…

A: GivenA pssword consists of 4 charactersthe first2 being letters and last 2 being digits

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Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

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Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the…

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Q: In a certain state, each automobile license plate number consists of two letters followed by a…

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Q: Your school locker has a dial with 50 numbers which required 3 numbers to open.  (It is not a…

A: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a…

Q: You are selecting a 7 character password using 4 letters and 3 numbers ( from 0-9 ), without…

A: The following solution is given below :

Q: Given the characters A,B,C,H,I,T,U,V,1,2,3,and 4, how many seven character passwords can be made? (…

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Q: How many different five​-letter passwords can be formed from the letters A, B, C, D, E, F, G and H…

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Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restríctions on the…

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Q: A combination lock has a dial with 30 numbers from 1 through 30.  How many three-number combinations…

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Q: How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, G and H if…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

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Q: If I am creating a 5-digit number combination, how many combinations will be created if the first…

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

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Q: How many three-letter codes can be made from the letter of the word LOCKED if the first and the last…

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Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: How many 5-letter word (even without meaning) can be created from the letters of the word "THERMO S"…

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Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

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Q: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

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Q: You need to have a password with 55 letters followed by 22 odd digits between 00 and 99, inclusive.…

A: In this context, it is appropriate to have a password with 5 letters followed by 2 odd digits…

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

Q: A corporate password consists of four digits, followed by three lower-case letters of the alphabet.…

A: The password is 4 digits long followed by three lower-case letters.

Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 40. If there are no restrictions…

A: From 0 to 40, there are 41 integers.  Since there are no restrictions  so we can pick the first…

Q: A certain website wants you to build a 6-character password from the letters a through i, the…

A: Given: The letters will be selected from a through i. Thus, there are a total of 9 letters from a…

Q: Outside a home, there is a 9-key keypad with letters A, B, C, D, E, F, G, H, and I that can be used…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: A computer password is to consist of three lower case letters followed by two digits. Determine how…

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Q: How many different four-character passwords are possible if the first and third character must be a…

A: The number of letters from A to Z is 26 and the number of digits from 0 to 9 is 10.

Q: A large corporation is concerned with security and identity theft.  So, instead of using workers’…

A: The number of alphabets to choose from is 26 i.e. A to Z, and the number of digits to choose from…

Q: Suppose you are given 5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles to…

A: We have  5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles

Q: How many different codes are​ available?

A: It is given that the code consists of four digits. The first digit cannot be zero and the last digit…

Q: You need to have a password with 6 letters followed by 2 odd digits between 0 and 9, inclusive. If…

A: In this context, it is appropriate to have a password with 6 letters followed by 2 odd digits…

Q: A lock uses the letters A through H on the first dial and the digits 0 through 9 on the second and…

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Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 19.  If there are no restrictions…

A: Given: 3 numbers to unlock the lock.

Q: From the digits 0, 1, 2, 3, 4, and 5, how many 3-digit numbers can be formed if digits may be…

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

A: Given: Total letters = 26

Q: If an Iphone password can have 4 or 6 digit passwords how many combination can there be if there has…

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Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

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Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if order is…

A: There are 5 vowels and 21 consonants. Here, the order is important.

Q: Outside a​ home, there is a 9​-key keypad with letters A, B, C, D, E, F, G, H, and I that can be…

A: The following information has been given: There is a nine letter code which is used to open the…

Q: A combination lock uses 4 numbers, each of which can be 0 to 27. If there are no restrictions on the…

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Q: When you get to college you will be assigned a new Student Identification Number. If this ID is 5…

A: The number of ways to select r objects out of n is given by the formula nCr=n!r!(n-r)!. Therefore,…