Find the number of words formed (may be meaningless) by using all the

1.	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) = \(\frac{8!}{(8-8)!}\) = \(\frac{8!}{(0)!}\) = \(\frac{40320}{1}\) = 40320 Hence there are 40320 words formed.

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) = \(\frac{8!}{(8-8)!}\) = \(\frac{8!}{(0)!}\) = \(\frac{40320}{1}\) = 40320

Hence there are 40320 words formed.