# 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?

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.