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11 nCr 3 plugged in a calculator will equal 165 Combinations/Positions
The number of ways can the first three positions of the order of the finish occur is 165 ways.
What is Combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given: n=11 and r=3
Using Combinations,
[tex]^n{C}_r[/tex]= [tex]\frac{n!}{r!(n-r)!}[/tex]
= 11 !/ 3!( 11-3)!
= 11 ! /3! 8!
= [tex]\frac{11*10*9*8!}{3*2* 8!}[/tex]
= 11*10*9/ 3*2
= 990/6
= 165
Hence, In 165 ways the first three positions of the order of the finish occur.
Learn more about combination here:
https://brainly.com/question/2292539
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