Question

In an upcoming race, the top 3 finishers will be recognized with the same award. There are 12 people entered in the race.

Answer 1

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

$=^{12}C_3$

$=\frac{12!}{3!(12-3)!}$

$=\frac{12\times 11\times 10\times 9!}{3\times 2\times 9!}$

$=\frac{1320}{6}$

$=220$

Hence, there are 220 ways the top 3 racers can be grouped from the 12 people.