Problem of the Week Problem C
CADET
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
MATH to get MTHA. 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?