Question

An Olympic skating event has 11 competitors, but only the three highest scores, in order, will qualify for a medal. How many different ways are there for the top three skaters to receive a Gold, a Silver, and a Bronze medal?

Answer 1

Solution:

Given: An Olympic skating event has 11 competitors,but only the three highest scores, in order, will qualify for a medal.

We have to find number of ways are there for the top three skaters to receive a Gold, a Silver, and a Bronze medal.

Gold medal can be won by any one out of 11 competitors, Silver medal can be won by rest of 10 competitors, and a bronze medal can be won by rest of 9 competitors.

Thus total number of ways in which the top three skaters receive a Gold, a Silver, and a Bronze medal

= 11 x 10 x 9

= 990