Q. 3 A5.0( 2 Votes )

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

4 letters are used at a time

Answer :

Given that we need to find the no. of words formed by 4 letters which were taken from word ‘MONDAY.’


Let us find the no. of ways of choosing 4 letters and assume it to be N1.


N1 = (No. of ways of choosing 4 letters from MONDAY)


N1 = (6C4)


We know that ,


And also n! = (n)(n – 1)......2.1





N1 = 15


Now we need to find the no. of words that can be formed by 4 letters.


Now we need to arrange the chosen 4 letters. Since 1 person 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 4!.


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


N = N1 × 4!


N = 15 × 24


N = 360


The no. of words that can be formed by 4 letters of MONDAY is 360.


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