Number of Selections of 1 or More from Set/Examples/6

Example of Use of Number of Selections of $1$ or More from Set
Let there be $6$ different flowers in a vase.

Then there are $63$ different ways of selecting at least one of these flowers.

Proof
Let $S$ be the set of flowers.

Let $N$ be the number of different ways of selecting at least one of these flowers.

We have:
 * $\card S = 6$

where $\card S$ denotes the cardinality of $S$.

Hence from Number of Selections of $1$ or More from Set:
 * $N = 2^6 - 1 = 63$