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# How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

Q.8.    How many words, with or without meaning, can be formed using all the letters of

the word EQUATION, using each letter exactly once?

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There are 8 different letters in word EQUATION.

Therefore, words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once

is permutations of 8 different letters taken 8 at a time, which is $^8P_8=8!$

Hence, the required number of words formed $=8!=40320$

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