If Missy has 8 identical tulip plants and 4 identical daisy plants, in how many ways can she use the plants to line the walkway?

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If Missy has 8 identical tulip plants and 4 identical daisy plants, in how many ways can she use the plants to line the walkway?

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Answer 1 · 2018-02-20T04:19:03

495 ways

Explanation:

If all the plants were unique, we'd have #12! = 479,001,600# ways to line the walkway.

However, we have 8 identical tulips and 4 identical daisies. The way they can internally order amongst those groups is #8!# and #4!# respectively. And so to eliminate duplicates, we need to divide by #8!4!#:

#(12!)/(8!4!)=(12xx11xx10xx9xx8!)/(8!xx24)=495# ways.

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If Missy has 8 identical tulip plants and 4 identical daisy plants, in how many ways can she use the plants to line the walkway?

1 Answer

Explanation:

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