5 people out of 23 can be chosen 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
The formula for combination is:
[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]
5 people out of 23 can be chosen in 33649 ways
Keywords: Combinations, Permutations
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