fundamental counting principle

a student can choose from 12 types of backpacks, 5 pencil cases and 7 water bottles. how many school supply sets can they create?

number of sets = ?

Question

fundamental counting principle

a student can choose from 12 types of backpacks, 5 pencil cases and 7 water bottles. how many school supply sets can they create?

number of sets =  ?

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fundamental Counting Principle" ], "new_concepts": [], "current_concepts": [ "Fundamental Counting Principle" ] } ## Identify the choices for each item $$ \begin{aligned} &\text{Backpacks } (B) = 12 \ &\text{Pencil cases } (P) = 5 \ &\text{Water bottles } (W) = 7 \end{aligned} $$ ## Apply the multiplication rule $$ \begin{aligned} \text{Total Sets} &= B \times P \times W \ &= 12 \times 5 \times 7 \ &= 60 \times 7 \ &= 420 \end{aligned} $$ A student can choose from 12 types of backpacks, 5 pencil cases and 7 water bottles. How many school supply sets can they create? Number of Sets = 420 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Fundamental Counting Principle" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the choices for each item

Apply the multiplication rule

Answer: