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5 A student has to select a two-unit study for her course. She has to choose one unit in
each semester. In semester one she has to choose one of two mathematics units, three
language units and four science units. In semester two she has a choice of two history
units, three geography units and two art units. How many choices does she have for the
complete study?

Ask by Peters Ross. in Australia
Mar 30,2025

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The total number of choices the student has for the complete study is .

Solución

In semester one, the student has the following options:
  • Mathematics: 2 units
  • Language: 3 units
  • Science: 4 units
Total choices for semester one = units.
In semester two, the student has the following options:
  • History: 2 units
  • Geography: 3 units
  • Art: 2 units
Total choices for semester two = units.
To find the total number of choices for the complete study, we multiply the number of choices from semester one by the number of choices from semester two:
Total choices = Choices in semester one × Choices in semester two = .
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Multiply the numbers:

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Extra Insights

To find the total number of choices the student has for her two-unit study, we first calculate the choices available in each semester.
In semester one, she can choose from:
  • 2 mathematics units
  • 3 language units
  • 4 science units
This gives her a total of choices for semester one.
In semester two, she can choose from:
  • 2 history units
  • 3 geography units
  • 2 art units
This totals choices for semester two.
Now, to find the total number of combinations for the two semesters, we multiply the number of choices in semester one by the number of choices in semester two:
Total choices = .
Therefore, the student has 63 choices for her complete study!

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