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An individual can be classified by gender as male, female, by hair color as black, blonde, brown, red, unknown, and by eye color as black, brown, green. A) How many different classifications are possible (for example, female, with unknown hair, and black eyes)?

1 answer

To determine the total number of classifications, you can use the counting principle, which states that if there are n ways to do one thing, and m ways to do another, then there are n * m ways to do both.

In this case, there are:

- 2 options for gender (male or female)
- 5 options for hair color (black, blonde, brown, red, unknown)
- 3 options for eye color (black, brown, green)

So the total number of classifications is:

2 (genders) * 5 (hair colors) * 3 (eye colors) = 10 * 3 = 30 different classifications.
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