Given: the word is ‘VOWELS.’

To find: number of words that can be formed using letters of the given word

Total number of letters in the word = 6

Formula used:

Number of arrangements of n things taken all at a time = P(n, n)

∴ Total number of arrangements

= the number of arrangements of 6 things taken all at a time

= P(6, 6)

{∵ 0! = 1}

= 6!

= 6 × 5 × 4 × 3 × 2 × 1

= 720

Hence, the total number of words can be made by letters of the word ‘VOWELS’ = 720