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In the English alphabet there are 26 letters. And there are 10 Arabic numerals (digits). For any arbitrary number of letters and numbers, the number of combinations can be found as the product of the number of possible symbols in each space, in this case: 26 * 26 * 26 * 10 * 10 * 10 * 10.

Another way to approach it is to raise 26 by the number of letters, and 10 by the number of digits, and multiply those together. Here it would be 26 to the third power times 10 to the fourth power:

26 ^ 3 = 17576

10 ^ 4 = 10000

Total = 175,760,000

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