Given : the word is ‘MONDAY.’
Total number of letters in the word = 6
To find : possible number of four-letter words can be made using the letters of the word ‘MONDAY.’
Formula used :
Number of arrangements of n things taken r at a time = P(n, r)
P(n, r) = \(\frac{n!}{(n-r)!}\)
∴ Total number of arrangements
= the number of arrangements of 6 things taken 4 at a time
= P(6, 4)
= 6 × 5 × 4 × 3
= 360
Hence,
The total number of four-letter words can be made by letters of the word ‘MONDAY’
= 360
