Assume that 8 women and 6 men work in a department at a large company. Four committee members are chosen from the department and designated as committee chair, committee vice-chair, committee...

Assume that 8 women and 6 men work in a department at a large company.   Four committee members are chosen from the department and designated as committee chair, committee vice-chair, committee secretary, and committee treasurer. How many ways can the committee now be formed?