Topics
>
Algebra 2>
Combinations and Permutations>
Fundamental Counting Principle>
Fundamental Counting Principle 3Fundamental Counting Principle 3
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 6 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- Answered
- Review
-
Question 1 of 6
1. Question
A phone number contains `8` digits. How many combinations of numbers are possible?- (100000000)
Hint
Help VideoCorrect
Fantastic!
Incorrect
Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`0-9``=``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)
Hint
Help VideoCorrect
Nice Job!
Incorrect
Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`0-9``=``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)
Hint
Help VideoCorrect
Well Done!
Incorrect
Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`0-9``=``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
Help VideoCorrect
Great Work!
Incorrect
Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`0-9``=``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)
Hint
Help VideoCorrect
Nice Job!
Incorrect
Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`0-9``=10`Letters:`A-Z``=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)
Hint
Help VideoCorrect
Correct!
Incorrect
Fundamental Counting Principle
number of ways `=``m``times``n`First, list down all the categories and count the options for eachNumbers:`0-9``=10`Letters:`A-Z``=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`
Quizzes
- Factorial Notation
- Fundamental Counting Principle 1
- Fundamental Counting Principle 2
- Fundamental Counting Principle 3
- Combinations 1
- Combinations 2
- Combinations with Restrictions 1
- Combinations with Restrictions 2
- Combinations with Probability
- Basic Permutations 1
- Basic Permutations 2
- Basic Permutations 3
- Permutation Problems 1
- Permutation Problems 2
- Permutations with Repetitions 1
- Permutations with Repetitions 2
- Permutations with Restrictions 1
- Permutations with Restrictions 2
- Permutations with Restrictions 3
- Permutations with Restrictions 4