How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if
Are all letters used at a time?
Given: the word is ‘MONDAY.’
To find: possible number of words using all the letters of the word ‘MONDAY.’
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 ‘MONDAY’ = 720
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