Question

How many 3-letter words can be made (ignoring the fact that some words do not make much sense)?

Answer 1

We can solve this problem be restating it as a problem with three blank spaces : _ _ _ , which we need to fill with letters. We need to find the total no. of ways in which these spaces can be filled.

Now, the first blank can be filled in 26 ways (26 letters in the English alphabet)

Similarly, the second blank can be filled in 26 ways (26 letters in the English alphabet)

Also, the third blank can be filled in 26 ways (26 letters in the English alphabet)

Thus, the total no. of ways in which the three blank spaces can be filled = 26*26*26 = 17576

Thus, we can make 17576 3-letter words.

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