How many possible combinations are there if you use three characters and the characters can be letters or numbers?

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How many possible combinations are there if you use three characters and the characters can be letters or numbers?

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Answer 1 · 2016-08-03T09:04:05

7770 triples of distinct alphanumeric characters.

Explanation:

There are 27 alphabets A-Z in English and and 10 numeric decimal digits 0-0. When pooled together, there are 37 alphanumeric characters. So, we can make

$37 C_{3} = \frac{37 X 36 X 35}{3 X 2 X 1} = 7770$ $37C_3 = (37 X 36 X 35)/(3 X 2 X 1) = 7770$ combinations of triples of distinct alphanumeric characters..

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How many possible combinations are there if you use three characters and the characters can be letters or numbers?

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