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This principle simply tells us that if you have 2 choices to make, 1 from a list of m items and 1 from a list of n, the total number of ways to make the 2 choices is m times n. Similarly, if there are more than 2 choices, you just multiply the number of possibilities together. For example, if you have 4 choices for what your first child will wear today, 5 choices for the second, and 7 for the third, the total number of combinations is 4 times 5 times 7 which is 140. This assumes that the number of options for each choice is independent of the other choices you make. For example, if you must choose one direction to go one block in a city, and then another at the end of that block, but if you choose to go north in the first place you are at a dead end, but if you had gone south you could go 3 different directions, the principle does not apply because the number of options for the second choice depends on your first choice.
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