MAKING PREDICTIONS WITH DATA
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Subject: Additional Mathematics
Class: SHS 3
Term: 2nd Term
Week: 19
Grade code: 3.4.2.LI.5
Strand code: 4
Sub-strand code: 2
Content standard code: 3.4.2.CS.1
Indicator code: 3.4.2.LI.5
Theme: HANDLING DATA
Subtheme: MAKING PREDICTIONS WITH DATA
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This lesson introduces the fundamental principles of counting: permutations and combinations. These are not just abstract mathematical concepts; they are powerful tools for making sense of the world around us. In Ghana, we constantly face situations involving choices, arrangements, and selections. For example, how many different ways can the regional representatives be seated at the National Council of State meeting? How many possible four-digit PINs can be created for a Mobile Money account? How many ways can a school form a quiz team for the National Science and Maths Quiz (NSMQ)?
This topic can be broken down into four main ideas: The Fundamental Counting Principle, Factorial Notation, Permutations, and Combinations. A. The Fundamental Counting Principle (FCP)
The FCP is the bedrock of this topic. It states:
> If one event can occur in m ways, and a second event can occur in n ways, then the two events can occur in sequence in m × n ways.
This principle extends to any number of events.