Saturday, January 12, 2002

2002 #12 and 30

More set theory! And Combinations! and Probability! And Exclamation Points!
Difficulty: moderately difficult for students who haven't done combinations in a while.
Difficulty: Much simpler than the location in the test would indicate. I'd be curious to know how your kids solved it.

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest

answer 12 and answer 30.

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