5
Problems(3)
SMT 2007 Team #5
Source:
6/30/2012
How many five-letter "words" can you spell using the letters , , and , if a "word" is defines as any sequence of letters that does not contain three consecutive consonants?
Overlap of Disks
Source:
3/15/2010
Two disks of radius 1 are drawn so that each disk's circumference passes through the center of the other disk. What is the circumference of the region in which they overlap?
SMT 2007 Algebra #5
Source:
6/27/2012
The polynomial has five rational roots. Suppose you guess a rational number which could possibly be a root (according to the rational root theorem). What is the probability that it actually is a root?
algebrapolynomialprobability