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How many different 3 - letter words can be made by 5 vowels with repetition, if vowel ‘A’ is never included?Choices:- 24 60 6 64

Question

How many different 3 - letter words can be made by 5 vowels with repetition, if vowel ‘A’ is never included?Choices:- 24 60 6 64

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Solution

The problem is asking for the number of 3-letter words that can be made using 5 vowels (A, E, I, O, U) with repetition, but excluding the vowel 'A'.

Here are the steps to solve the problem:

  1. Since 'A' is not included, we are left with 4 vowels (E, I, O, U).

  2. Each position in the 3-letter word can be filled by any of the 4 vowels.

  3. Therefore, the number of ways to fill each position is 4.

  4. Since there are 3 positions to fill and each position can be filled in 4 ways, the total number of 3-letter words is 444 = 64.

So, the answer is 64.

This problem has been solved

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