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Counting Principles and Varieties

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28. Automobile Manufacturing
An automobile manufacturer
produces 7 models, each available in 6 different exterior
colors, with 4 different upholstery fabrics and 5 interior
colors. How many varieties of automobile are available?

54. Barbie
A controversy arose in 1992 over the Teen Talk
Barbie doll, each of which was programmed with four sayings
randomly picked from a set of 270 sayings. The controversy
was over the saying, "Math class is tough", which
some felt gave a negative message toward girls doing well
in math. In an interview with Science, a spokeswoman for
Mattel, the makers of Barbie, said that "There's a less than
1% chance you're going to get a doll that says math class
is tough". Is this figure correct? If not, give the correct
figure.

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Solution Summary

Further probability topics are embedded.

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Hello,

For 28, simply multiply the numbers in order to obtain the number of varieties available:
7 models * 6 exteriors * 4 upholstery fabrics * 5 ...

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