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3 years ago

13

A hiking club has 9 members. How many ways can they choose a president, vice president, secretary, and treasurer from among the

members?

1 answer:

nydimaria [60]3 years ago

3 0

$the\ variation\ without\ repetition:\\\\P(n;k)= \frac{\big{n!}}{\big{(n-k)!}} \\\\---------------------\\\\n=9\ \ \ and\ \ \ k=5\\\\\Rightarrow\ \ \ P(9;5)=\frac{\big{9!}}{\big{5!}}=\frac{\big{5!\cdot6\cdot7\cdot8\cdot9}}{\big{5!}}=3024\\\\Ans.\ there\ are\ 3024\ ways\ to\ choose.$

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