Q. 105.0( 2 Votes )

How many words can be formed by the letters of the word ‘SUNDAY’?

Answer :

Given: We have 6 letters


To Find: Number of words formed with Letter of the word ‘SUNDAY.’


‘SUNDAY’ consist of 6 letters.


NOTE: - Unless specified, assume that repetition is not allowed.


Let us represent the arrangement with an example



6 ways 5 ways 4 ways 3 ways 2 ways 1 way


We have 6 places


First place can be filled with 6 letters, i.e. S,U,N,D,A,Y = 6 ways


Second place can be filled with 5 letters (as one letter is already used in the first place) = 5 ways


Similarly,


Third place can be filled with 4 letters = 4 ways


The fourth place can be filled with 3 letters = 3 ways


The fifth place can be filled with 2 letters = 2 ways


The sixth place can be filled with 1 letters = 1 ways


Total number of letters = 6 × 5 × 4 × 3 × 2 × 1 = 720


720 words can be formed by the letters of the word ‘SUNDAY.’


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
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
Understand Permutations like never beforeUnderstand Permutations like never beforeUnderstand Permutations like never before60 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
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
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 :