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Out of 7 consonants and 4 vowels, words ...

Out of 7 consonants and 4 vowels, words are to be formed by involving 3 consonants and 2 vowels. The number of such words formed is :

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To solve the problem of forming words using 3 consonants and 2 vowels from a set of 7 consonants and 4 vowels, we can follow these steps: ### Step 1: Choose the Consonants We need to select 3 consonants from the 7 available consonants. The number of ways to choose 3 consonants from 7 is given by the combination formula \( \binom{n}{r} \), which represents the number of ways to choose \( r \) items from \( n \) items without regard to the order of selection. \[ \text{Number of ways to choose 3 consonants} = \binom{7}{3} \] ...
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