Q3 of 118 Page 17

How many words, with or without meaning can be formed from the letters of the word ‘MONDAY’, assuming that no letter is repeated, if

all letters are used at a time

Given that we need to find the no. of words formed by all letters of MONDAY.


Now we need to arrange the 6 letters. Since every letter differs from other.


The arrangement is similar to that of arranging n people in n places which are n! ways to arrange. So, the total no. of words that can be formed is 6!.


Let us the total no. of words formed be N.


⇒ N = 6!


⇒ N = 360


∴ The no. of words that can be formed by 6 letters of MONDAY is 360.


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 3

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