Respuesta :
Answer: Permutation; number of ways = 120
Step-by-step explanation:
Answer with explanation:
Number of runner= 5
Number of Distinct Medal = 5
First Medal can be Awarded in 5 ways, second Medal can be awarded in 4 ways and third Medal can be awarded in 3 ways , fourth medal can be awarded in 2 ways and fifth Medal can be awarded in one way.
So, total number of ways =5 × 4×3×2×1=120 way
⇒We will use the concept of Permutation as there are five distinct medal and five different runners
So, Five distinct places can be filled in 5! or [tex]_{5}^{5}\textrm{P}[/tex] ways as order of arrangement is Important because any of the five candidates can win first second, third , fourth or fifth Prize.
= 5!=5×4×3×2×1=120 ways
Because, n!=n×(n-1)×(n-2)×........1.
