Answer:
The value is
Step-by-step explanation:
From the question we are told that
The number of recognized colors is n = 12
The number of teams is k = 8
Generally the total number of color pairs available to be selected is mathematically represented as
Here C stands for combination
=>
Generally the number of ways of selecting color pairs so that no two teams will have chosen the same pair of color is mathematically represented as
Here P stands for permutation
Generally the total number of way the teams can select a pair of color is mathematically represented as
=>
=>
Generally the the probability that no two teams will have chosen the same pair of color is mathematically represented as
=>