Liam is preparing a garden and needs to select 5 out of 7 different flowers and 3 out of 4 different shrubs. How many unique combinations of flowers and shrubs can Liam create?

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120

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Official Explanation

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The number of ways to choose 5 flowers from 7 flowers is given by

7c_5

\frac{7!}{5!2!}

= 21. The number of ways to choose 3 shrubs from 4 shrubs is…

Comments

SaiJul 5, 2024

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ChristinaJul 16, 2024

thanks

What this question tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.