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Misha Larkins [42]
3 years ago
12

Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,

if: (a)individual members can only hold at most one office
Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

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