How many words,with or without meaning,can be | vedclass

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(C) The word $EQUATION$ consists of $8$ distinct letters: $E, Q, U, A, T, I, O, N$.Since all letters are distinct and we need to use each letter exact

Vedclass · Accepted Answer

$40320$

Vedclass · Answer

(C) The word $EQUATION$ consists of $8$ distinct letters: $E, Q, U, A, T, I, O, N$.Since all letters are distinct and we need to use each letter exactly once,the number of words that can be formed is equal to the number of permutations of $8$ letters taken all at a time.This is given by $8!$ (factorial of $8$).$8! = 8 	imes 7 	imes 6 	imes 5 	imes 4 	imes 3 	imes 2 	imes 1 = 40320$.Therefore,the total number of words that can be formed is $40320$.

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

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