Question

There are 6 sprinters(an athlete who runs fast in short race).in how many different ways 3 medals(gold,silver,bronze) be allocated?​

Answer 1

Answer:

The 3 medals can be allocated among the 6 sprinters in 120 different ways.

Step-by-step explanation:

Number of medals= 3

Number of sprinters= 6

So the number of ways in which medals can be allocated= 6*5*4 = 120.

[The gold medal can be allocated to any of the 6 sprinters, the silver medal to any of the remaining 5 sprinters and the bronze to any of the remaining 4 sprinters]

Answer 2

Answer: There are 120 different ways that 3 medals be allocated.

Step-by-step explanation:

Since we have given that

Number of sprinters = 6

Number of medals = 3

They are gold, silver, bronze.

So, it requires arrangement.

As gold comes first, silver comes second, bronze comes third.

so, we will use "Permutations":

So, the number of different ways would be

$^6P_3=120$

Hence, there are 120 different ways that 3 medals be allocated.