Use the basic counting rule to solve the problem.
-A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 12 notes in her vocal range. How many different sequences of 4 notes are possible?
A)11,880
B)16,777,216
C)48
D)20,736

Question

Use the basic counting rule to solve the problem.
-A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 12 notes in her vocal range. How many different sequences of 4 notes are possible? 
A)11,880
B)16,777,216
C)48
D)20,736

Quizplus · Accepted Answer

The basic counting rule states that if there are n ways to do something and m ways to do another thing, there are n * m ways to do both. Here, there are 12 choices for each of the 4 notes, so the total number of sequences is 12^4 = 20,736.

Use the Basic Counting Rule to Solve the Problem