If coca cola must form an ethics subcommittee of four members, how many different subcommittees are possible?There are 11 members on the board of directors for the coca cola company.

Expert Answers
Matthew Fonda eNotes educator| Certified Educator

We have 11 different members we can choose from, and we want to count the number of committes consisting of 4 members. To solve this sort of problem, we use combinations:

`11C4 = ((11),(4)) = (11!) / (4!7!) = 330`

Therefore there are 330 ways Coca-Cola can form an ethics subcommitte of four members from the 11 member board of directors.