The group of five people can be selected in 33649 ways
Step-by-Step Explanation:
When the selection is being made without order then the combinations are used. Permutation is another methods used for selection if the selection has to be distinct. while here, we only have to select a group of 5 people out of 23, we will use combination
Combination is solved by:
[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]
Here
n = 23
r = 5
Putting the values
[tex]C(23,5)=\frac{23!}{5!(23-5)!}\\=\frac{23!}{5!18!}\\=33649\ ways[/tex]
The group of five people can be selected in 33649 ways
Keywords: Combination, Permutation
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