Question

A flower seller has 30 roses, 25 daisies and 15 orchids in her cart. She chooses 12 flowers at random to create a bouquet.

In how many ways can she choose the 12 flowers if the flowers could be in any combination?

Answer 1

60246643120300

Explanation:

Given that a flower seller has 30 roses, 25 daisies and 15 orchids in her cart

She chooses 12 flowers at random to create a bouquet.

Since any combination is given order of flowers does not matter.

Total number of flowers =
`30+25+15 = 80`

Flowers chosen at random = 12

No of ways of selecting 12 flowers from 80 flowers is

80C12

=
`(80!)/(12!68!) \\=60246643120300`