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03 Nov 2020, 00:03
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razorhell
razorhell:
The language has only 2 vowels and 3 consonants. It is not a subset of English.
The Simplastic language has only 5 letters in its alphabet.
Note that different languages have different scripts and different number of letters in their alphabet e.g. Urdu has 36 letters in its alphabet, Pashto has 45, Hindi has 52 etc. They have no connection to English.
01 Feb 2021, 09:03
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Bunuel
I found this question a bit misleading...presumably the word that ends up getting spelt is an actual noun as opposed to a mish mash of letters. Anyway.
I get this part: 3*2*3*2*3. But shouldn't we do a 21C3 for the consonants and 5C2 for the vowels? i.e. combination then permutation? 3 and 2 seems to presuppose that we already have some letters selected.
01 Feb 2021, 17:24
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Hi CEdward,
To start, the prompt tells us exactly how many 'letters' are in this particular language: 5 (2 vowels and 3 consonants) - not the 26 letters that you are referring to in your post. The Combination Formula could potentially apply IF you were not allowed to use a particular letter more than once in a word (and the order of the letters didn't matter), but there are no such restrictions in this question (and I don't know any languages that are based on either of those 'rules', so there's no reason to assume that either of those rules would apply here).
Based on what we are given, we have the following 'facts' to work with:
-We can only form 5-letter words.
-The 1st, 3rd and 5th letters are consonants (and there are only 3 to choose from)
-The 2nd and 4th letters are vowels (and there are only 2 to choose from)
-There are no restrictions on using duplicate letters, so it stands to reason that the consonants and/or vowels could be the SAME consonant/vowel.
This points to a straight Permutation: (3)(2)(3)(2)(3).
GMAT assassins aren't born, they're made,
Rich
To start, the prompt tells us exactly how many 'letters' are in this particular language: 5 (2 vowels and 3 consonants) - not the 26 letters that you are referring to in your post. The Combination Formula could potentially apply IF you were not allowed to use a particular letter more than once in a word (and the order of the letters didn't matter), but there are no such restrictions in this question (and I don't know any languages that are based on either of those 'rules', so there's no reason to assume that either of those rules would apply here).
Based on what we are given, we have the following 'facts' to work with:
-We can only form 5-letter words.
-The 1st, 3rd and 5th letters are consonants (and there are only 3 to choose from)
-The 2nd and 4th letters are vowels (and there are only 2 to choose from)
-There are no restrictions on using duplicate letters, so it stands to reason that the consonants and/or vowels could be the SAME consonant/vowel.
This points to a straight Permutation: (3)(2)(3)(2)(3).
GMAT assassins aren't born, they're made,
Rich
