Question

An Olympic skating event has 11 competitors, but only the three highest scores, in order, will...

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?

Homework Answers

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

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