
### Instruction: help me answer this question We know that there are 5 vowels and 21 consonants in the English alphabet. Choosing two vowels out of 5 would be done in 5C2 ways. Choosing 2 consonants out of 21 can be done in 21C2 ways., think step by step
### Assistant: This is a combination problem because the order of choosing the vowels and consonants does not matter. We need to find the number of ways to select 2 vowels from 5 and 2 consonants from 21. This can be calculated using the combination formula: nCr = n! / (r! × (n-r)!), where n is the total number of objects, r is the number of objects to choose, and '!' denotes factorial. , The answer is The total number of ways to select 2 vowels and 2 consonants = 5C2 × 21C2
