Q. 7 A5.0( 5 Votes )

# How many permutations can be formed by the letters of the word, ‘VOWELS,’ whenthere is no restriction on letters?

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

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