Answer: i think its 9 but sorry if I'm wrong I'm only in 4th grade
Step-by-step explanation:
The answer to this question is mlink
We have to choose 3 teachers from a group of 7 teachers, then, the amount of combinations is given by
![C^7_3](https://tex.z-dn.net/?f=C%5E7_3)
We have to choose 3 students from a group of 8 students, then, the amount of combinations is given by
![C^8_3](https://tex.z-dn.net/?f=C%5E8_3)
Since we have to choose a committee simultaneously formed by 3 teachers and 3 students, we want the intersection of those combinations, which is given by their product
![C^7_3\times C^8_3](https://tex.z-dn.net/?f=C%5E7_3%5Ctimes%20C%5E8_3)
The formula for a combination is given by
![C^n_k=\frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=C%5En_k%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
Then, we have