## Related questions with answers

Question

Find the number of permutations. How many ways can 12 runners in a race finish first, second, and third?

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2There are 12 runners in a race so, there 12 ways to finish first, 11 ways to seconds and 10 ways to third

$\text{Total no of ways }=12\times{11}\times{10}$

$\ \ \ \ =1320$

Answered 2 years ago

Step 1

1 of 2Number of ways= [4ex]

$12_{P_{3}}=\dfrac{12!}{(12-3)!}=1320$

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