How many words can be formed by using letters of the word ‘RELAX'?
Question
How many words can be formed by using letters of the word ‘RELAX'?
Solution
The word 'RELAX' has 5 different letters.
When forming new words, each of these 5 letters can be used once.
The number of ways to arrange n distinct items is given by the formula for the permutation of n items, which is n factorial (n!).
So, the number of words that can be formed by using all the letters of the word 'RELAX' is 5! = 54321 = 120.
Therefore, 120 different words can be formed by using all the letters of the word 'RELAX'.
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