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Chapter 11: Problem 22
A social security number contains nine digits, such as 074-66-7795. How many different social security numbers can be formed?
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Write a word problem that can be solved by evaluating \({ }_{7} C_{3}\).
Mega Millions is a multi-state lottery played in most U.S. states. As of this writing, the top cash prize was \(\$ 656\) million, going to three lucky winners in three states. Players pick five different numbers from 1 to 56 and one number from 1 to 46 . Use this information to solve Exercises 7-10. Express all probabilities as fractions. A player wins a minimum award of \(\$ 10\) by correctly matching two numbers drawn from white balls (1 through 56 ) and matching the number on the gold Mega Ball (1 through 46). \(^{\oplus}\). What is the probability of winning this consolation prize?
Explain how to find the odds in favor of an event if you know the probability that the event will occur.
A popular brand of pen is available in three colors (red, green, or blue) and four writing tips (bold, medium, fine, or micro). How many different choices of pens do you have with this brand?
As in Exercise 1, six performers are to present their comedy acts on a weekend evening at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?
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