Question

How many three letter words can be made using the letters of the word 'ORIENTAL' ?

Answer 1

There are 8 letters in the word 'ORIENTAL'.The total number of three letter words is the number of arrangements of 8 items, taken 3 at a time, which is equal to
$8_{p_3}=\frac{8!}{(8-3)!}$
= $\frac{8!}{5!}$
= $\frac{8\times 7\times 6\times 5!}{8!}$
=336
Hence, the total number three letter words are 336.