A 'combination' lock has a dial bearing the numbers 1 through 8. How many different 3-number 'combinations' are possible if there are no restrictions on the 3 numbers

Q: The local​ seven-digit telephone numbers in city A have 157 as the first three digits. How many…

A: The objective of the question is to find out the total number of different seven-digit telephone…

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

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: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: iPhones have a 6-digit PIN number, how many different PIN numbers are possible?

A: Choices of filling 6 places are 10 I.e.. 0,1,2,3,4,5,6,7,8,9

Q: A combination lock consists of a dial with 40 numbers on it. To open the lock, you turn the dial to…

A: Given,Combination lock consists of a dial with 40 numbers.We have to turn the dial to the right…

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: Outside a home, there is an 8-key keypad numbered 1 through 8. The correct five-digit code will open…

A: There are totally 8-key keypad numbers. The correct five-digit code will open the garage door. The…

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: Some states have a single area code for the entire state. Two such states have area codes where one…

A: The sum of two codes is 1203.  To find the two codes.

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: mrs putzman has a briefcase with a three digit combination lock. she can set the combination…

A: Given that, mrs putzman has a briefcase with a three digit combination lock. she can set the…

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: A census taker visited the Jones household, and asked Mrs. Jones for the age of her three sons. Mrs.…

A: After knowing that the ages multiply to 76, here is a complete list of the possibilities:Ages:…

Q: Some automobiles have 4 button locks. To gain entry, push each of the four buttons, in a particular…

A:

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

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

A: The given word is BUSTLED

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 state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

A:

Q: How many different three-number “combinations” are possible on a combination lock having 46 numbers…

A: Given,A lock having 46 numbers on its dial.

Q: Your new license plate was made just recently with the following format: 3 non-repeating letters…

A: Given ,        format of license plate-           3 non-repeating letters followed by           4…

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

A:

Q: how many of the three digit numbers are even numbers and do not begin with 2

A: here given , mrs putzman has a briefcase with a three digit combination lock. she can set the…

Q: For a class activity, a teacher put students into teams of 5.The teams were made up of 2students…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.