Subjects combinatorics

Cvc Syllables

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Cvc Syllables


1. **State the problem:** We want to find how many CVC (consonant–vowel–consonant) syllables can be formed using 10 consonants and 4 vowels. 2. **Formula and explanation:** The number of possible syllables is the product of the number of choices for each position in the syllable. Since the syllable is CVC, the first and third positions are consonants, and the middle position is a vowel. 3. **Calculate the number of syllables:** Number of choices for first consonant = 10 Number of choices for vowel = 4 Number of choices for second consonant = 10 Total number of CVC syllables = $10 \times 4 \times 10$ 4. **Simplify:** $$10 \times 4 \times 10 = 400$$ 5. **Answer:** There are 400 possible CVC syllables that can be formed.