Question

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?
For this question, do we take number of letters of the word into consideration? Then, we could have formed 8-lettered words, 7 lettered words, 6-lettered, 5, 4, 3, 2, 1 -lettered word.

Answer 1

Dear Student!

There are eight letters in the word 'EQUATION'.

Total number of word is equal to the number of arrangement of these letters, taken all at a time.

Number of arrangement = ⁸P₈ = 8! = 40320

Thus, the number of words is 40320.

Cheers!