The purpose of this exercise is to understand the various combinations and permutations that can result from selecting a President and 2-person committee from a pool of 8 people. It can also be used to demonstrate the importance of strategic decision making and the impact it can have on the overall outcome.
There are 168 possible combinations that can result from choosing a President and 2-person committee from 8 people. This is calculated by using the formula nCr = n! / r!(n-r)! where n is the total number of people (8) and r is the number of positions to be filled (3).
There are several factors that should be taken into consideration when choosing a President and 2-person committee from 8 people. These include the qualifications, skills, and experience of each individual, their ability to work together as a team, and their potential impact on the organization or group as a whole.
Yes, it is possible for the same person to hold both the position of President and be a member of the 2-person committee. This would result in a smaller pool of candidates to choose from, as there would only be 7 people available for the remaining position on the committee.
The number of people to choose from directly affects the total number of combinations. As the number of people increases, the total number of possible combinations also increases. For example, if there were 10 people instead of 8, there would be 252 possible combinations instead of 168.