We can take any word and rearrange all the letters to get another “word”. These new “words” may be nonsensical. For example, you can rearrange the letters in MAT H to get MT HA. Geordie wants to rearrange all the letters in the word CADET. However, he uses the following rules: • the letters A and D must be beside each other, and • the letters E and T must be beside each other.
How many different arrangements of the word CADET can Geordie make if he follows these rules?
Note: ADCET and ADT EC are acceptable words, while ADT CE is not.