Using the English alphabet. which consists of 21 consonants and 5 vowels, how many three-letter arrangements can be made in which the first letter is a consonant, the second letter is a vowel and the third letter is a consonant

They are plenty

Step-by-step explanation:

2205

Step-by-step explanation:

Letter 1 is a consent, so there are 21 choices for the letter (all 21 consonants).

Letter 2 is a vowel, so there are 5 choices (all 5 vowels).

Letter 3 is a consent so there are 21 choices (all 21 consonants).

One would have to do 21 * 5 * 21 to find the number of combinations which fit these criterias.

21 * 5 * 21

= 2205

This is disregarding all the other rules of English grammer and word strucutre, so the total amount of combinations that can be found would include nosensical words. The total number of words would also include repeating consonants, so a consonant can appear twice in a combination, and some combinations might repeat.