Given : the word is ‘ORIENTAL.’
Total number of letters = 8
To find : possible number of three-letter words can be made using the letters of the word ‘ORIENTAL.’
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 8 things taken 3 at a time
= P(8, 3)
= 8 × 7 × 6
= 336
Hence,
The total number of three-letter words can be made by letters of the word ‘ORIENTAL’
= 336
