To find how many ways a group of 23 students can be chosen from a group of 6, we use combinations, where the order doesn't matter.
Combinations are found with the next formula:
[tex]\text{nCr}=\frac{n!}{r!(n-r)!}[/tex]Where n is the total of persons and r is the sample asked.
Therefore:
n=23 and r=6
Replacing the values:
[tex]23C6=\frac{23!}{6!(23-6)!}[/tex]Then:
[tex]23C6=100947[/tex]Hence, there are 100947 ways that 23 students can be chosen from a group of 6.
