For a club consisting of n people, the number of ways in which a president, vice-president, and treasurer can be elected is given by

a) Find the rate of change in the number of ways to elect the 3 officers with respect to the number of club members.
b) How many ways are there to elect the 3 officers when there are 20 club members?
c) Find the rate of change at n = 20.


(a)

(b) 6840

(c) 1082 ways club member

Mathematics

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