Number of Selections of 1 or More from Set/Examples/6
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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:
- $N = 2^6 - 1 = 63$
$\blacksquare$
Sources
- 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text I$. Algebra: Permutations and Combinations: Exercises $\text I$: $9$