Answer :
The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.
15 different 2-member committees are possible.
What is a permutation vs combination?
- Subsets of a set can be created in two different ways: combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a particular order.
- The various ways in which items from a set may be chosen, usually without replacement, to form subsets, are called permutations and combinations. When the order of the selection is a factor, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.
- The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.
C(6,2) = 6!/(4!2!) = 15.
15 different 2-member committees are possible.
To learn more about : Combinations.
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