Answer:
In 2184 different ways can the 1st-3rd pick be arranged.
Step-by-step explanation:
We are given the Total number of NBA teams does not make the play offs = 14
We need to find number of ways in which 3 teams randomly picked.
We use permutation to find the number of ways.
We know that number of ways of selecting r item from n different item is equal to [tex]^nP_r\:\:=\:\:\frac{n!}{(n-r)!}[/tex]
Here, r = 3 and n = 14
[tex]\implies^{14}P_3=\frac{14!}{(14-3)!}frac{14!}{11!}=frac{14\times13\times12\times11!}{11!}=14\times13\times12=2184[/tex]
Therefore, In 2184 different ways can the 1st-3rd pick be arranged.
