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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'?

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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'.

This problem has been solved

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