As per the given data,

Alphabets Of English Language –26 letters

Out of 26 letters, 5 are vowels and 21 are consonants

In the question they have mentioned the letters cannot be repeated. Therefore,

The first, the second, third and fourth letter can have any of the 26 letters but the fifth letter should be consonant.

Thus the possibilities are 21

Therefore total number of possibilities is:

= 26 * 26 * 26 * 26 * 21

= (26)4 * 1

= 9596496

The total number of possible combinations is 9596496

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