The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet?

Explanation

To solve the problem of how many words with two different vowels and two different consonants can be formed from the English alphabet, we will follow these steps:

### Step 1: Choose 2 Different Vowels
The English alphabet has 5 vowels (A, E, I, O, U). We need to select 2 different vowels from these 5.

The number of ways to choose 2 vowels from 5 is given by the combination formula \( \binom{n}{r} \), where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose.

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