Question 483360
Assuming the gender of each position is irrelevant; you have a total of 35 people.
You have 4 offices, and 6 committee members, so that's 10 people overall.  So you're combining 35 people, ten at a time, which is:
35C10=35x34x33x32x31x30x29x28x27x26x25!/10x9x8x7x6x5x4x3x2x25!=183579396
different arrangements of officers and committee members..