Q11 of 195 Page 16

How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if

Are all letters used at a time?

Given: the word is ‘MONDAY.’


To find: possible number of words using all the letters of the word ‘MONDAY.’


Total number of letters in the word= 6


Formula used:


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



∴ Total number of arrangements


= the number of arrangements of 6 things taken all at a time


= P(6, 6)




{∵ 0! = 1}


= 6!


= 6 × 5 × 4 × 3 × 2 × 1


= 720


Hence, the total number of words can be made by letters of the word ‘MONDAY’ = 720


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