SOLUTION: Hello! If I could get help with the following question: An organization can elect a president and a different secretary in 210 different ways. How many members does the organiza

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Question 1104217: Hello! If I could get help with the following question:
An organization can elect a president and a different secretary in 210 different ways. How many members does the organization have?
Thank you!

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


If there are n people in the organization, then there are n choices for president, and then there are (n-1) choices for secretary. So the number of ways of electing a president and a secretary is n(n-1).

The problem says there are 210 different ways this can be done, so
n%28n-1%29+=+210

The easiest way to solve for n is by trial and error; n is 15.

There are 15 members in the organization.