Question

Two girls have picked 10 roses, 15 sunflowers and 14 daffodils. What is the number of ways they can divide the flowers amongst themselves?

Answer 1

Here is your answer buddy,

The girls are distinct and the roses,sunflower,daffodil can be considered as identical objects separately.

We know,

The no. of ways to distribute r identical objects in n  boxes is given by n-r+1Cr.

But we have to consider roses,sunflower and daffodil separately.

At the same time,we have to distribute all types of flowers.

So we have to take their product.So no. of ways = 2-1+10C10 * 2-1+15C15 * 2-1+15C15 = 11 * 16 * 16 = 2816.

Hope this helps you.
Be Brainly.