Question

A project team consists of 100 people. Every member is appointed to an equal number of projects.


No two people are appointed to the exact same projects. this situation cannot be achieved if every member is appointed to 3 projects but can be achieved if every member is appointed to 4 projects.

How many projects does the team have?

Answer 1

The number of projects the team has is 400

The project team consist of 100 individuals/people. Every member of the team has an equal number of projects. Two individuals cannot work on the same projects. This situation can only be met if each member is appointed to do 4 projects.

Therefore, the total project the team have can be calculated as follows

• 4×100 =400

Total project  = 400

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