An identification code consists of five symbols: A1, A2, B1, B2, B3. The first two symbols must be selected from the 26 letters of the English alphabet, while the last three symbols must be chosen from 10 digits. (Repetition of letters and digits is permitted.) How many unique identification codes can be formed?

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1,757,600

676,000

Correct

468,000

1,676

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Official Explanation

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The first two symbols A1 and A2 can each be any of the 26 letters of the English alphabet (with repetition allowed), which gives us: 26 x 26 = 676. The last three symbols B1, B2, and B3 can each be any of the 10 digits (with…

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Comments

GiovannaJul 4, 2024

Amazing

TarekMar 26, 2025

Greatt

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.