Question

There are fifteen students in a geography contest. In how many ways can the contestants win first, second, third, and fourth?

Answer 1

32760 ways.

Explanation:

Total number of students = 15

Possible ways to select a student for first position out of 15 = 15

Now one student is selected. So remaining students is 14.

Possible ways to select a student for second position out of 14 = 14

Similarly,

Possible ways to select a student for third position out of 13 = 13

Possible ways to select a student for fourth position out of 12 = 12

So, the number of ways in which contestants can win first, second, third, and fourth is

Required ways
`=15* 14* 13* 12`

`=32760`

Therefore, the contestants can win first, second, third, and fourth in 32760 ways.