Use the formula for „P, to solve the following question. A dlub with sixteen members is to choose three officers: president, vice-president, and 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? ways
The total number of selections to be made are 3, one for president, one for vice president and one for secretary treasurer
The total number of people to select from is 16
Since each office is to be held by only one person, from the available 16 members, first one president will be chosen.
Then for the remaining two positions, only 15 members will be present to select from, since the selected president cannot occupy any other office. Then the vice-president will be chosen.
After the choosing of the vice-president, 14 members will be left to select for the post of secretary treasurer.
So, the order of selection of the officers has to be maintained. Since the order is an important factor here, permutations will be used to find out the total number of ways of selecting the 3 officers
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