Question 81

In how many different ways can letters of the word “BELIEVE” be arranged ?

Solution

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BELIEVE
The total number of alphabets in the word 'BELIEVE' is 7.
There are three 'E's in these seven letters.

Hence, the number of different ways the letters of the word 'BELIEVE' can be arranged is $$\frac{7!}{3!} = 7*6*5*4 = 840$$

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