The Math Honor Society has 100 members. There are 60 juniors and 40 seniors. The bylaws state that the president has to be a sen
ior and the vice president has to be a junior. The secretary and treasurer can come from any class. How many ways can the president, vice president, secretary, and treasurer be elected assuming all 100 members want the jobs?
40 x 60 x 98 x 97 There are 40 seniors to be president, 60 juniors to be juniors, 98 people are left since 2 were elected for president and vice president. After the Secretary has been elected, there are 97 people left. SImply multiply the numbers. There are 22,814,400 ways.
