A dinner club has 30 members. At a particular dinner, every club member gets to order exactly 3 different items. How many items must be available so that every member of the club can have a different dinner – i.e. no two dinners have exactly the same three items? [don’t try manually, use excel builtin]

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.