Question

An individual can be classified by gender as male, female, by hair color as black, blonde,...

An individual can be classified by gender as male, female, by hair color as black, blonde, and by eye color as black, brown, green, hazel, unknown.

​a) How many different classifications are possible​ (for example, female female​, with blonde blonde ​hair, and black black ​eyes)?

There are ___ different classifications.

Math   Statistics-And-Probability   
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Answer #1

Based on the gender an individual can be classified in 2 ways - Male, Female.

Based on hair color an individual can be classified in 2 ways - black, blonde

Based on the eye color an individual can be classified in 5 ways - black, brown, green, hazel and unknown

The total number of classifications is nothing but the product of individual classifications according to the fundamental theorem of counting.

So, the total number of classifications possible = 2×2×5=20

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