Respuesta :
Answer:
The total number of possible combinations of species that you captured is 11,175.
Step-by-step explanation:
The order that you captured the species is not important. For example, capturing a bird of specie A then a bird of specie B is the same outcomes as capturing a bird of specie B then a bird of specie A. So the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, we have that:
Combinations of 2 species from a set of 150. So
[tex]C_{150,2} = \frac{150!}{2!148!} = 11,175[/tex]
The total number of possible combinations of species that you captured is 11,175.
