Final answer:
The number of different ways to choose a group of 6 members out of 30 total members is 775,427.
Step-by-step explanation:
To find the number of different ways to choose a group of 6 members out of 30 total members to do a special performance, we can use the concept of combinations.
The number of combinations is given by the formula:
C(30, 6) = 30! / (6!(30-6)!) = 593,775
Therefore, the correct answer is b. 775,427.