Answer:
Therefore, the probability is P=15/56.
Step-by-step explanation:
We know that from a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project.
We calculate the number of possible combinations, to choose from 8 people 3.
[tex]C_3^8=\frac{8!}{3!(8-3)!}=56[/tex]
How George has to be on the team while Nina can't be on the team. It remains for us to choose 2 people from the remaining 6 people.
[tex]C_2^6=\frac{6!}{2!(6-2)!}=15\\[/tex]
Therefore, the probability is P=15/56.
