Question

How many ways can we arrange 3 tulips, 2 yellow roses, and 8 lilies to form a border around a garden?

Answer 1

The number of ways to arrange the flowers is 1,716.

Step-by-step explanation:

To determine the number of ways we can arrange the flowers, we can use the concept of permutations. We have 3 tulips, 2 yellow roses, and 8 lilies. We can arrange these flowers in any order. The total number of ways is given by the formula:

n!/(n1!*n2!*n3!...)

Where n is the total number of flowers, and n1, n2, n3, ... are the number of each type of flower.

Substituting the values into the formula, we get:

Number of ways = 13!/(3! * 2!) = 1,716