A company has its Scottish offices in Glasgow, Edinburgh and Aberdeen and it wants to put a team of five employees together to send to negotiate new contracts abroad. There are 10 employees in the Glasgow office, 8 employees in Edinburgh and 2 employees in Aberdeen.
How many teams may be chosen altogether?
How many possible teams include:
all the members of the Aberdeen office?
no members from the Edinburgh office?
at least one member from the Glasgow office?
Im finding difficulty with this final part of said question, my current working entails:
19C4 = 3876 possibilities
i used 19 as there are 20 total options however 1 has to be Glasgow hence the 19, however i feel that this method of working is incorrect!