Consider the following puzzle. You are to select four three-letter “words” from
ID: 358176 • Letter: C
Question
Consider the following puzzle. You are to select four three-letter “words” from the following list: DBA DEG ADI FFF BCD FDF BAI For each word, you earn a score equal to the position, in the alphabet, of the word’s third letter. (For example DBA has a score of 1, DEG has a score of 7.) Your goal is to choose the four words that maximizes the total score, subject to the following constraints: • The sum of the positions in the alphabet for the first letters of the four words chosen must be at least as large as the sum of the positions in the alphabet for the second letters of the words chosen. • If you include more than one word ending with an I, you must include at least one word ending with a D
Explanation / Answer
In the question, DBA has a score of '1' and DEG has a score of '7'.
Therefore,
ADI has a score of '9'
FFD has a score of '4'
FDF has a score of '6'
BCD has a score of '9'
BAI has a score of '9'
Total score = 1+7+9+4+6+9+9 = 45
We have to choose four words that maximizes the total score. These can be:-
EGAD, GHIB, FBAI, CDFD, DBAD, IFFD
therefore,