How many ten-digit telephone numbers are possible if the first three digits must all be different?

Q: The password for a new online gaming site must contain three letters followed by four digits. The…

A: Given that there are 3 letters in the password and the letters can not repeat. There are 26 letters…

Q: A four-digit house number contains no zeros. The number has exactly three distinct digits. How many…

A: It is given that a four digit house number has no digits. The number has exactly 3 distinct digits.…

Q: Steve wants to download a selection of new music. How many ways can Steve select four rock songs,…

A: Multiplication principle: It states that if there are n ways of doing something, and m ways of doing…

Q: Town M and town N are connected by two roads while town N and town P are connected by five roads.…

A: There are 2 different roads connecting town M and town N. This shows that there are k=2 different…

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

A:

Q: How many 7 digit phone number are possible? Assume the first digit can be zero and all digits can be…

A: make 7 digit phone number.The first number can be zero and all digits can repeated. The digits are :…

Q: In the past, a college required students to use a 4 digit PIN (Personal Identification Number) as…

A:

Q: A telephone number consists of 10 digits: 3 digit area code followed by 7 digit number. How many…

A: For area code , possible first digits are 1 to 9 and for the other number ,remaining digits are 0-9…

Q: How many telephone numbers have no repeated digits?

A: Given, A telephone number consists of seven digits which is combination of {0,1,2,3,4,5,6,7,8,9}.

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

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: The access code to a house's security system consists of seven digits. How many different codes are…

A: Given that the access code to a house's security system consists of seven digits.

Q: Outside a home, there is a 4-key keypad with letters A, B, C, and D that can be used to open the…

A: Given Outside a home , there is a Keypads with letter= A,B,C,D Number of codes=4

Q: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: given data , a toy company is going to issue new ID codes to its employees. each code will have one…

Q: Answer the following question. How many license plates are possible if you must have 8 characters,…

A: One of the methods of counting in a problem is the fundamental counting principle. The fundamental…

Q: How many options do you have for a 10-digit password of 26 letters?

A: to find number of option for a 10-digit password of 26 letters

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: An ATM pin consists of 6 digits. Each digit can be numbers 0-9. The PIN should not be a birthdate…

A: Given: Number of digits in ATM pin is, N=6. The possible numbers from 0 to 9 are, n=10. The first…

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: Outside a home, there is a 5-key keypad with letters A, B, C, D and, E that can be used to open the…

A: 5 key keypad with letter A,B,C,D,E.the key can be used to open the garage if the correct five-letter…

Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

Q: A car company is going to issue new ID codes to its employees. Each code will have one digit…

A: The objective of this question is to find out the total number of unique employee ID codes that can…

Q: How many integers must you pick in order to be sure that at last two of them have the same remainder…

A: To Find: Number of integers that must be picked in order to be sure that at least two of them have…

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: How many different 4-letter words can be formed from the letters of BUSTLED?

A: The given word is BUSTLED

Q: A 7 digit phone number consists of numbers 0 - 9. How many different combinations can be made if the…

A: Given ,number digits from 0 to 9=10

Q: As I went to pay for my coffee, I saw a sign saying, “Win free coffee for a year! Choose 4 different…

A: The objective of this question is to find out the total number of different 4-digit passcodes that…

Q: A certain website requires a password to be 6 characters in length. Two of the characters must be a…

A: From the provided information, A certain website requires a password to be 6 characters in length.…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many license plates can be made using either two or three letters followed by either two or…

A:

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…