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Fundamental Counting Principle>
Fundamental Counting Principle 3Fundamental Counting Principle 3
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Question 1 of 6
1. Question
A phone number contains `8` digits. How many combinations of numbers are possible? (100000000)
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Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`09``=``10`Use the Fundamental Counting Principle and for each category multiply the number of options.Remember that the phone number has eight digits.number of ways `=` `m``times``n` Fundamental Counting Principle `=` `10``times``10``times``10``times``10``times``10` `times``10``times``10``times``10` `=` `10^8` `=` `100 000 000` The total combinations that can be used as a phone number is `100 000 000`.`100 000 000` 
Question 2 of 6
2. Question
A phone number contains `8` digits. How many combinations of numbers are possible if you can’t repeat a number? (1814400)
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Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`09``=``10`Use the Fundamental Counting Principle and for each category multiply the number of options.Remember that the phone number has eight digits and the value decreases every digit.number of ways `=` `m``times``n` Fundamental Counting Principle `=` `10``times``9``times``8``times``7``times``6` `times``5``times``4``times``3` `=` `1 814 400` The total combinations that can be used as a phone number is `1 814 400`.`1 814 400` 
Question 3 of 6
3. Question
You are asked to create a `4` digit PIN. How many combinations of numbers are possible? (10000)
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Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`09``=``10`Use the Fundamental Counting Principle and for each category multiply the number of options.Remember that the PIN has four digits.number of ways `=` `m``times``n` Fundamental Counting Principle `=` `10``times``10``times``10``times``10` `=` `10^4` `=` `10 000` The total combinations that can be used as a PIN is `10 000`.`10 000` 
Question 4 of 6
4. Question
You are asked to create a `4` digit PIN. How many combinations of numbers are possible if you can’t repeat a number? (5040)
Hint
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Great Work!
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Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`09``=``10`Use the Fundamental Counting Principle and for each category multiply the number of options.Remember that the PIN has four digits and the value decreases every digit.number of ways `=` `m``times``n` Fundamental Counting Principle `=` `10``times``9``times``8``times``7` `=` `5040` The total combinations that can be used as a PIN is `5040`.`5040` 
Question 5 of 6
5. Question
You are asked to create a `5`character password. How many combinations of characters are possible? (60466176)
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Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`09``=10`Letters:`AZ``=26`Total Characters:`10+26``=``36`Use the Fundamental Counting Principle and for each category multiply the number of options.Remember that the password has five characters.number of ways `=` `m``times``n` Fundamental Counting Principle `=` `36``times``36``times``36``times``36``times``36` `=` `36^5` `=` `60 466 176` The total combinations that can be used as a password is `60 466 176`.`60 466 176` 
Question 6 of 6
6. Question
You are asked to create a `5`character password. How many combinations of characters are possible if you can’t repeat a character? (45239040)
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Correct!
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Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`09``=10`Letters:`AZ``=26`Total Characters:`10+26``=``36`Use the Fundamental Counting Principle and for each category multiply the number of options.Remember that the password has five characters and the value decreases every character.number of ways `=` `m``times``n` Fundamental Counting Principle `=` `36``times``35``times``34``times``33``times``32` `=` `45 239 040` The total combinations that can be used as a password is `45 239 040`.`45 239 040`
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