In how many ways can a judge award first, second, and third places in a contest with 10 entries?

1,000

720

30

The number of ways a judge can award first, second, and third places in a contest with 10 entries is:

                                 720

We know that the choosing and arranging of r entries out of a total of n entries is given by the method of permutation and the formula is given by:

Here we have to chose and arrange 3 people according to their ranks out of a total of 10 entries.

i.e. r=3 and n=10

Hence, the formula is given by:

                  Hence, the answer is:

                             720 ways

the correct answer is 828.07