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Question
Write the total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants.
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Solution
2 out of 4 vowels and 3 out of 5 consonants can be chosen in
The total number of letters is 5. These letters can be arranged in 5! ways.
∴ Total number of words = \[{}^4 C_2 \times {}^5 C_3 \times 5!\]
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