How many different arrangements of letters are possible if three letters are chosen from the letters A through G and the letters E and A must be among the letters selected? Choose the correct choice from the following options:
A) 28
B) 30
C) 32
D) 34
E) 36
Besides A and E, there are 5 letters and we can choose one of them.   5C1 = 5   Three letters can be arranged in 3! ways.   The number of arrangements is 5*3! = 30   The answer is 30.
<result>B</result>
How many different arrangements of letters are possible if three letters are chosen from the letters A through G and the letters E and A must be among the letters selected?