The Simplastic language has only 2 unique vowels and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic?

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108

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Official Explanation

Official

The nouns have fixed structure C-V-C-V-C.

Each C can take 3 values (since there are 3 unique consonants) and each V can take 2 values (since there are 2 unique vowels).

Therefore, the number of possible nouns is

3 \times 2 \times 3 \times 2 \times 3 = 108

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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.