The Math Honor Society has 100 members. There are 60 juniors and 40 seniors. The bylaws state that the president has to be a senior 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?

Question

Genevieve

Mathematics

28 June, 02:37

The Math Honor Society has 100 members. There are 60 juniors and 40 seniors. The bylaws state that the president has to be a senior 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?

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Twiggy · Answer 1

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.