What is a combination?

1 Answer


See below:


A combination is a grouping of distinct objects without regard to the order in which the grouping is made.

As an example, a poker hand is a combination - we don't care in what order we're dealt the cards, only that we're holding a Royal Flush (or a pair of 3s).

The formula for finding a combination is:

#C_(n,k)=((n),(k))=(n!)/((k!)(n-k)!)# with #n="population", k="picks"#

As a for instance, the number of possible 5-card poker hands is:


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