Final answer:
The number of words that can be formed from the English alphabet with two different vowels and two different consonants is 21,000. Option C is correct.
Step-by-step explanation:
In this problem, we need to find the number of words that can be formed from the English alphabet, with two different vowels and two different consonants.
There are 5 vowels and 21 consonants in the English alphabet. To form a word with two different vowels and two different consonants, we need to choose 2 vowels out of 5, and 2 consonants out of 21.
The number of ways to choose 2 vowels from 5 is 5 choose 2 (or 5C2), which is equal to 10. The number of ways to choose 2 consonants from 21 is 21 choose 2 (or 21C2), which is equal to 210.
Therefore, the total number of words that can be formed is the product of the number of ways to choose the vowels and the number of ways to choose the consonants: 10 * 210 = 2100.
So, the correct answer is c. 21,000.