29. Finding the Number of Possible Melodies In Denys Parsons' Directory of Tunes and Musical Themes, melodies for more than 14,000 songs are listed according to the fol- lowing scheme: The first note of every song is represented by an asterisk *, and suc- cessive notes are represented by R (for repeat the previous note), U (for a note that goes up), or D (for a note that goes down). Beethoven's Fifth Symphony begins as *RRD. Classical melodies are represented through the first 16 notes. With this scheme, how many different classical melodies are possible?

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29. Please answer this question and please show every step. Please make sure to let me know if it’s permutation or combination, and to always start off with the formula when showing the work.
29. Finding the Number of Possible Melodies In Denys Parsons' Directory of Tunes-and
Musical Themes, melodies for more than 14,000 songs are listed according to the fol-
lowing scheme: The first note of every song is represented by an asterisk *, and suc-
cessive notes are represented by R (for repeat the previous note), U (for a note that
goes up), or D (for a note that goes down). Beethoven's Fifth Symphony begins as
*RRD. Classical melodies are represented through the first 16 notes. With this
scheme, how many different classical melodies are possible?
Transcribed Image Text:29. Finding the Number of Possible Melodies In Denys Parsons' Directory of Tunes-and Musical Themes, melodies for more than 14,000 songs are listed according to the fol- lowing scheme: The first note of every song is represented by an asterisk *, and suc- cessive notes are represented by R (for repeat the previous note), U (for a note that goes up), or D (for a note that goes down). Beethoven's Fifth Symphony begins as *RRD. Classical melodies are represented through the first 16 notes. With this scheme, how many different classical melodies are possible?
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