To state: The numbers of ways in which a President, Vice President, and Secretary among 13 members of the East Brainerd Garden Club can be elected.
The resultant answer is 1716 ways.
Given information:
Among 13 members of the East Brainerd Garden Club a President, Vice President, and Secretary have to be elected.
Explanation:
Total number of members is 13. Out of it 3 positions are to be filled.
Any of the 13 members can be elected as a president. Thus there are 13ways in which a President can be selected.
Now 12 members are left, the Vice President can be elected from the remaining 12 members. Thus there are 12 ways in which a Vice President can be elected.
Now 11 members are left, the Secretary can be elected from the remaining 11 members. Thus there are 11 ways in which a Secretary can be elected.
The number of ways is:
Therefore, there are 1716 ways in which a President, Vice President, and Secretary can be elected from 13 members.
Chapter 9 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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