Question

Number of words formed, with or without meaning, using all the letters of the word EQUATION, using each letter exactly once is x!.Find the value of x.

Answer 1

There are eight letters in the word 'EQUATION' . So, the total number of words is equal to the number of arrangement of these letters, taken all at a time. The number of such arrangement is ${}^8{P}_8=8!.$ Hence, the total number of words $=8!.$