Question
How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?
Answer: Option B
4 consonants out of 12 can be selected in,12C4 ways.
3 vowels can be selected in 4C3 ways.
Therefore, total number of groups each containing 4 consonants and 3 vowels, = 12C4 × 4C3
Each group contains 7 letters, which can be arranging in 7! ways.
Therefore required number of words, = 12C4 × 4C3 × 7!
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4 consonants out of 12 can be selected in,12C4 ways.
3 vowels can be selected in 4C3 ways.
Therefore, total number of groups each containing 4 consonants and 3 vowels, = 12C4 × 4C3
Each group contains 7 letters, which can be arranging in 7! ways.
Therefore required number of words, = 12C4 × 4C3 × 7!
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