Is Joey's work correct? No, Joey made a mistake going from the given expression to Step 1. Joey should have multiplied 2 and 3 instead of evaluating exponents. The order of operations says to multiply before you evaluate exponents. No, Joey made a mistake going from Step 4 to Step 5. Joey should have subtracted 3 from 97 before adding. The order of operations says to add and subtract from left to right. Yes, Joey's work is correct.

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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.