5-letter “words” are formed using the letters A, B, C, D, E, F, G. Find the number of possible words are possible for each of the following conditions. Each word must begin with the letter A.

Answer 1

1. Words of any length: There are 6 options for the second letter (B-F) and 5 options for each subsequent letter (A-G), so the total number of words is 6x5x5x5x5 = 3,750.

2. Words consisting of 5 letters: There are 5 options for each subsequent letter, so the total number of 5-letter words is 5x5x5x5 = 625.