A club has 20 members. They are to select three office holders- president, secretary, and treasurer-...
A club has 20 members. They are to select three office holders- president, secretary, and treasurer- for the next year. They always select these office holders by drawing three names randomly from the names of all members. The first person selected becomes the president, the second is the secretary and the third one takes over as treasurer. What is the total number of arrangements of three names from these 20?
Homework Answers
Number of arrangements of r items from n is given by, nPr = n!/(n-r)!
Number of arrangements of 3 names from 20 = 20P3
= 20!/(20-3)!
= 20x19x18x17!/17!
= 20x19x18
= 6,840
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