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

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.’


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