C of C Math Marathon 2012
8:08 AM
Muhammad Yusuf
, Posted in
1. Express 2012 as a difference of two integer squares.
2. Each account on a social networking website has a Personal
Identification Number, which is required to be a string of eight decimal digits
not containing two consecutive digits that are both odd. So for example
31415926 is not an acceptable PIN but 02252012 is an acceptable PIN. Find the
number of acceptable PINs.
3. What is the smallest number of integer squares whose sum is 2012?
4. At a small party there are fifteen door prizes, each of which is
randomly given to one of the five guests. What is the probability that each of
the five guests receives at least one door prize?
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