In a race with 10 competitors, the first-place finisher receives a gold medal, and the second-place finisher receives a silver medal. If there are no ties, in how many different ways may these two medals be awarded? Answers.
A) 90 B) 120 C) 720 D) 840 E) 68
Well in this case since there are 2 positions and they can be taken by 2 persons only ,so order matters over here .For gold there are 10 choices and for silver 9 remain (one who got gold cannot be given silver).   So total possibilities=10*9   Correct answer 90=90
<result>A</result>
In a race with 10 competitors, the first-place finisher receives a gold medal, and the second-place finisher receives a silver medal. If there are no ties, in how many different ways may these two medals be awarded?