The binomial coefficient \({n \choose k}\) can be used to find the number of possible combinations of things such as:

• different basketball teams of \(x\) amount of players that can be formed from a group of \(y\) amount of players,

• the number of ways \(4\) people can be chosen to be on a committee within a club that has \(20\) members,

• the number of ways you can seat \(10\) people into \(15\) chairs,

• the number of ways you can choose \(5\) candies from \(8\) multicolored candies,

• the number of full houses that can be dealt from a standard \(52\)-card deck.