A club with 19 members is to choose three officers president vice president and security secretary treasurer. If each office is to be held by one person and no person can hold more than one office in how many ways can those offices be filled
President has 19 options
Vice President has 18 options (19 - 1 president)
Secretary has 17 options (19 - president and vice president)
19*18*17 = 5,814 different combinations are possible for the office positions
