The campaign team decide to recruit a random selection of 6 respondents of the 1260 to participate in a focus group.

a) How many total focus groups could possibly be formed?

b) 646 of the respondents identified as women, 608 identified as male, and 6 identified as other or gender nonconforming. What is the probability of forming a focus group with two females, two males, and two other or non-conforming persons? (Include any decision algorithms used)

c) Suppose that 730 of the respondents were Caucasian, 366 were African American, 56 were Hispanic, 60 were Asian, and 48 identified as other. Find the probability of forming a focus group with at least two Asian persons. (Include any decision algorithms used)