Question

Amadeus wants to create a melody using only the notes in a single octave (eight

notes), how many four-note melodies, with no repeating notes, could he possibly
create?
(Your answer must be in numerical form. Round to the nearest tenth, if necessary.)

Answer 1

Amadeus can create 1680 different four-note melodies with no repeating notes using the notes in a single octave.

Step-by-step explanation:

To create a four-note melody with no repeating notes using only the notes in a single octave, we can use the concept of permutations. Since Amadeus has eight different notes to choose from for the first note, seven for the second note, six for the third note, and five for the fourth note, we can determine the total number of melodies by multiplying these possibilities together:

Total number of melodies = 8 * 7 * 6 * 5 = 1680

Therefore, Amadeus can create 1680 different four-note melodies with no repeating notes using the notes in a single octave.

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