Addition and Multiplication Principles (VCE SSCE Mathematical Methods): Quizzes

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Addition and Multiplication Principles
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When should the addition rule be used in counting problems?

When choosing between alternatives

Which key word typically signals that the addition rule should be used?

or

A student can choose from 55 history books or 33 art books. How many total book choices?

88

When should the multiplication rule be used in counting problems?

When making sequential decisions

Which key word typically signals that the multiplication rule should be used?

and

There are 44 routes to town and 33 routes from town to the beach. How many total route options?

1212

What does 'mutually exclusive' mean in the context of the addition rule?

Can choose one or another, not both

If there are mm choices for stage one and nn for stage two, what is the formula?

m×nm \times n

Why is the multiplication rule faster than tree diagrams for multi-stage problems?

It gives answer quickly without counting

A library has 22 cookbooks, 33 novels, or 44 comics. How many book choices are there?

99

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