Question

A project team from 2 to 6 people is being formed from a staff of 22. How many such teams are possible?

Answer 1

110,033 ways :)

Explanation:

Alright, so, there can be between 2 and 6 people in the team.

For a team of 2, there are C(22, 2) = 231 ways to form a team.

For a team of 3, there are C(22, 3) = 1540 ways

For a team of 4, there are C(22, 4) = 7315 ways

For a team of 5, there are C(22, 5) = 26334 ways

For a team of 6, there are C(22, 6) = 74613 ways, mind boggling! :)

So, the total is 231 + 1540 + 7315 + 26334 + 74613 = 110,033 ways!