AFM.7.a

Use various counting models (including tree diagrams and lists) to identify the distinguishing factors of a context in which the Fundamental Counting Principle can be applied.

Example Problems
Ravi bought 4 newly released comic books and wants to line them up on his shelf in some order.

How many
unique arrangements can Ravi make?
A digital security lock uses the six distinct letters A – F, and its code requires all six letters with none repeated.

How many unique codes can be formed?
A service robot has 6 maintenance tasks to perform overnight. Each task must be done exactly once, and the sequence affects efficiency.

How many
unique task schedules can the robot follow?
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