# 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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Solution:

Formula used:

• nPr = n!/(n−r)!

Number of letters in word EQUATION =8

Number of letters to be taken at a time =8

If P is the number of words thus formed,then

P=P(8,8)=8!/(8−8)!

⇒8!

⇒8×7×6×5×4×3×2×1

⇒40320