Question

A manager is forming a 6 person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?

6
24
56
120
462

Answer 1

ok since the manager already decided 3 people
that leaves only 8 people he can choose from

if you want to think about it in terms of order
his first choice he can pick out of 8
his 2nd choice he can only pick out of 7
etc.
so 8*7*...

Answer 2

because 3 people are already chosen then there would be 8 people left and because order doesn't matter your answer would be 8C3 or 56

Answer 3

I just checked the book, you are correct. 56 is right!!

Answer 4

:D yay