Answer
720
Work Step by Step
A permutation from a group of items occurs when no item is used more than once and the order of arrangement makes a difference.
The number of permutations possible if $r$ items are taken from $n$ items is
${}_{n}P_{r}=\displaystyle \frac{n!}{(n-r)!}$.
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Order of selecting members to office is important, as it makes a difference whether member A has been chosen to be
1. the president,
2. the vice president, or
3. the secretary-treasurer.
Conclusion: we can use the formula ${}_{n}P_{r}=\displaystyle \frac{n!}{(n-r)!}$.
where r=3 members are taken from n=10 members.
${}_{11}P_{3}=\displaystyle \frac{10!}{8!}=10\times 9\times 8=720 $ways