If 7 subjects are selected from the 9 that are​ available, and the 7 selected subjects are all treated at the same​ time, how many different treatment groups are​ possible?

Respuesta :

Answer:

Therefore, we have 36 different treatment groups.

Step-by-step explanation:

We know that the 7 subjects are selected from the 9 that are​ available, and the 7 selected subjects are all treated at the same​ time.

We calculate how many different treatment groups are​ possible.

We get:

[tex]C_7^9=\frac{9!}{7!(9-7)!}=\frac{9\cdot 8\cdot 7!}{7!\cdot 2\cdot 1}= 36[/tex]

Therefore, we have 36 different treatment groups.