Answer:
220
Step-by-step explanation:
Given,
The total number of people = 12,
Out of which, top 3 finishers will be recognized with the same award,
So, the total possible way = total combination of 3 people out of 12 people
[tex]=^{12}C_3[/tex]
[tex]=\frac{12!}{3!(12-3)!}[/tex]
[tex]=\frac{12\times 11\times 10\times 9!}{3\times 2\times 9!}[/tex]
[tex]=\frac{1320}{6}[/tex]
[tex]=220[/tex]
Hence, there are 220 ways the top 3 racers can be grouped from the 12 people.
