Question

How many possible words of length 6 can I generate from the English lower case alphabet, if each word starts with a random consonant, and after that vowels and consonants alternate?

What if I add digits to my alphabet?

See also this question.

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Solution

I assume this is related to this question/answer, if so then the numbers of possibilities is this case (6 chars) are 1 million, 157 thousand and 625:

21 * 5 * 21 * 5 * 21 * 5 = 1,157,625

7 chars:

21 * 5 * 21 * 5 * 21 * 5 * 21 = 24,310,125

8 chars:

21 * 5 * 21 * 5 * 21 * 5 * 21 * 5 = 121,550,625

You get the idea.

OTHER TIPS

If its only lowercase English alpha characters then the answer for combination is simply 26 to the sixth power. I don't have an answer for permutation.

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