Q. 295.0( 2 Votes )

How many 3-digit number can be formed by using the digits 1 to 9 if no digit is repeated?

Answer :

Given: Digits which can be used to make numbers are 1, 2, 3, 4, 5, 6, 7, 8 and 9


The number of these digits are 9


To find: total number of three-digit numbers with no digit repeated


Formula used:


Number of arrangements of n things taken r at a time = P(n, r)



The total number of ways


= the number of arrangements of 9 things taken 3 at a time


= P(9, 3)





= 9 × 8 × 7


= 504


Hence, total number of three-digit numbers using digits 1 to 9 with no digit repeated are 504


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Circular permutationsCircular permutationsCircular permutations61 mins
Challenging Quiz on P&C | Test YourselfChallenging Quiz on P&C | Test YourselfChallenging Quiz on P&C | Test Yourself55 mins
Permutations & Combinations | Analyze your learningPermutations & Combinations | Analyze your learningPermutations & Combinations | Analyze your learningFREE Class
Understand Permutations like never beforeUnderstand Permutations like never beforeUnderstand Permutations like never before60 mins
Check Your progress Part 2| Interactive Quiz: Permutation & CombinationCheck Your progress Part 2| Interactive Quiz: Permutation & CombinationCheck Your progress Part 2| Interactive Quiz: Permutation & CombinationFREE Class
Interactive Quiz on Combinations-02Interactive Quiz on Combinations-02Interactive Quiz on Combinations-0253 mins
Interactive Quiz on CombinationsInteractive Quiz on CombinationsInteractive Quiz on Combinations50 mins
Division and distribution of objectsDivision and distribution of objectsDivision and distribution of objects58 mins
Lecture on CombinationsLecture on CombinationsLecture on Combinations49 mins
Interactive Quiz on Division and distribution of objectsInteractive Quiz on Division and distribution of objectsInteractive Quiz on Division and distribution of objects17 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :