Question

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

Answer 1

Answer:

1 gold 2silver and 3 bronze

Step-by-step explanation:

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Answer 2

Answer:

20 ways.

Step-by-step explanation:

In the question,

Total number of sprinters = 6

Number of medals = 3

Now we already know that,

Number of ways in which r things can be allocated to n people is given by,

ⁿCr = $\frac{n! }{r! (n-r)!}$

So,

Number of ways of allocating 3 medals to 6 sprinters is given by,

$\frac{6!}{3!3!} =\frac{6 \times 5 \times 4 \times 3!}{3!3!} = 5 \times 4 = 20$

Therefore, there are total 20 ways of allocating 3 medals to the 6 sprinters.