the program committee of a bluegrass music festival must arrange 5 numbers for an evening performance. eight numbers are available. how many different arrangements of the evening performance are possible?



Answer :

56 different arrangements are possible for the evening

Selections and combinations are synonyms. Combinations represent the choice of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them. Out of a set of n objects, we count the number of unique r-selections or combinations. It is given by the formula ⁿCr. Utilizing the combinations formula, it is simple to determine how many distinct groups of r objects each may be created from the provided n unique objects.

Required numbers = 5

Numbers available = 8

The number of arrangements possible:

⁸C₅ = 56

Learn more about permutations and combinations:

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