Answer :
Answer:
45 different pairings are possible to create
Step-by-step explanation:
Since one team is marked as "HOME" and other as "AWAY", the order in which the teams are chosen is important to solve this question. So we use the permutations formula to solve.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
Combinations of 2 teams from sets of 10. SO
[tex]P_{(10,2)} = \frac{10!}{(10-2)!} = 95[/tex]
45 different pairings are possible to create