If I am creating a 5-digit number combination, how many combinations will be created if the first digit is an odd number and the last digit are either 0, 7 or 9 or the 3 middle digits are all prime numbers

Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: How many numbers between 1999 and 4000 can be formed with the digits 0,1,2,3 and 4 if repetition of…

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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: How many different 11-letter words (real imaginary) can be formed from the letters in the word…

A: We have to find the total number of 11-letter words that can be formed from the letter in the word…

Q: You are signing up to a website that requires you to create a username that is exactly 8 characters…

A: From the given information, the website that requires you to create a username that is exactly 8…

Q: access code for the entrance of a faculty office consists of five digits. Each digit can be 0…

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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 seven-digit telephone numbers can be formed if the first digit cannot be zero?

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Q: bank PIN is a string of four digits, each digit 0-9. How many choices are there for a PIN if the…

A: Given A bank PIN is a string of four digits, each digit 0-9. Odd numbers=1,3,5,7,9

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

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

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

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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: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: if a "word" is any arrangement of 3 different letters, how many 3 letter "words" can be formed from…

A: Given  if a "word" is any arrangement of 3 different letters, how many 3 letter "words" can be…

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.