MathDB

11

Part of 2007 Stanford Mathematics Tournament

Problems(2)

SMT 2007 Team #11

Source:

6/30/2012
The polynomial R(x)R(x) is the remainder upon dividing x2007x^{2007} by x2−5x+6x^2-5x+6. R(0)R(0) can be expressed as ab(ac−bc)ab(a^c-b^c). Find a+c−ba+c-b.
algebrapolynomial
Anagrams and Dating

Source:

3/15/2010
Jonathan finds out that his ideal match is Sara Lark, but to improve his odds of finding a girlfriend, he is willing to date any girl whose name is an anagram of "Sara Lark," and whose name consists of both a first and last name of at least one letter. How many such anagrams are there?