Q. 135.0( 2 Votes )

Find the number of words formed (may be meaningless) by using all the letters of the word ‘EQUATION’, using each letter exactly once.

Answer :

There are 8 alphabets in the word EQUATION.


Formula:


Number of permutations of n distinct objects among r different places, where repetition is not allowed, is


P(n,r) = n!/(n-r)!


Therefore, a permutation of 8 different objects in 8 places is


P(8,8) = = = = 40320


Hence there are 40320 words formed.


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