out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Answer:
To form a word with 3 consonants and 2 vowels, we can select 3 consonants out of 7 in \binom{7}{3} ways, and 2 vowels out of 4 in \binom{4}{2} ways.
The total number of ways to form a word with 3 consonants and 2 vowels is the product of these two combinations:
\binom{7}{3} \times \binom{4}{2} = 35 \times 6 = 210
Therefore, there are 210 different words that can be formed with 3 consonants and 2 vowels from the given set of consonants and vowels.