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6 June, 11:02

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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  1. 6 June, 11:58
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    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.
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