Question

In a tea shop there are 30 different types of green tea. How many ways can I

select 15 different types of green tea to take home?

Answer 1

Answer: 155117520

Explanation:

The number of combinations of r things selected from a group of n things at a time is given by :-

`^nC_r=(n!)/((n-r)!r!)`

Given : The total number of different types of green tea = 30

The number of different types of green tea you wish to select = 15

Then , the number of combinations of selecting 15 different types of green tea from 30 at a time is given by :-

`^(30)C_(15)=(30!)/((30-15)!15!)\\\\=(30!)/(15!15!)=155117520`

Hence, there are 15511752 ways you can select 15 different types of green tea to take home.