Could Experts please explain how does the explanation allow for repetitions?
We have 3! repetitions for consonants and 2! repetisions for vowels, which made me divide 108/12=9. Yet, A is incorrect.
Source: Manhattan Test from GMAT Club Tests
I'm happy to help with this.
As usual, MGMAT has done a brilliant job of setting up the question. They state:The Simplastic language has only 2 unique values and 3 unique consonants.
OK, that makes clear the nature of this "alphabet", the letters available for possible words.
Then: 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?
Where in that text, describing the nature of a "noun", does it hint at all that repeats are not allowed. When I first read the question, I scanned it, and then went back to read carefully. Very tricky. The word "unique
" appears twice in the description of the alphabet, in the description of the letters available, but no such restriction appears in the description of what constitutes a "noun." Since there is no restriction, repetitions are allowed. Whatever the first consonant is, the third letter (the second consonant) could be any of the three, regardless of whether it's a repetition.
Does all this make sense?
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