Out of 5 consonants and 4 vowels, how many words of 3 consonants and 3 vowels can be made?
Step-by-step Solution:
We are given 5 consonants and 4 vowels. We need to form words with 3 consonants and 3 vowels.
Step 1: Choose 3 consonants out of 5:
\(\binom{5}{3} = 10\)
Step 2: Choose 3 vowels out of 4:
\(\binom{4}{3} = 4\)
Step 3: Arrange the selected 6 letters (3 consonants + 3 vowels) in a word:
\(6! = 720\)
Note: If the question assumes only selection then the correct answer is
\(10 \times 4 = 40\)
Answer: Option A with resepect to selection