Question

seven runners are competing in a race,in how many ways can the gold, silver and bronze medal be awarded ??

Answer 1

Seven runners are competing in a race so there are 3 gold 2 silver 1 bronze ways can the gold, silver and bronze medal be awarded.

No. of ways = 6P3 = 120  

No. of ways by which gold can be awarded = 6  

No. of ways by which silver can be awarded = 5 (except the who got gold)  

No. of ways by which gold can be awarded = 4 (except the who got gold or silver)  

Total ways = 6 * 5 *4 = 120