Exercise · ZW-MULTIPLICATION-PRINCIPLE-008 · ★★☆ Intermediate

Select the condition required to multiply the number of options of each step.

Choose one option.

Show answer
  • C. The number of options at each step does not depend on how the earlier steps were done.

Explanation

Only the number of options matters, not which ones: the objects may change but not how many there are. A step with a single option is valid (factor 1).

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Review the concept: Multiplication principle

If a task is done in successive steps and step \(i\) admits \(n_i\) options regardless of how the earlier steps were done, the total number of ways \(N\) is the product of those numbers.

\[N=n_1\cdot n_2\cdots n_k\]

More practice problems: multiplication principle

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