Select Page ## Combinatorics – AMC 10A 2008 Problem 23 Sequential Hints

Understand the problem Two subsets of the set  are to be chosen so that their union is  and their intersection contains exactly two elements. In how many ways can this be done, assuming that the order in which the subsets are chosen does not matter? Source of the... ## Number Theory – AMC 10A 2013 Problem 21 Sequential Hints

Understand the problem A group of  pirates agree to divide a treasure chest of gold coins among themselves as follows. The  pirate to take a share takes  of the coins that remain in the chest. The number of coins initially in the chest is the smallest number for which... ## Number Theory – AMC 10A 2014 Problem 24 Sequential Hints

Understand the problem A sequence of natural numbers is constructed by listing the first , then skipping one, listing the next , skipping , listing , skipping , and, on the th iteration, listing  and skipping . The sequence begins . What is the th number in the... ## Probability – AMC 10A 2015 Problem 22 Sequential Hints

Understand the problem Eight people are sitting around a circular table, each holding a fair coin. All eight people flip their coins and those who flip heads stand while those who flip tails remain seated. What is the probability that no two adjacent people will... ## Number Theory – AMC 10A 2016 Problem 22

Understand the problem  For some positive integer , the number  has  positive integer divisors, including  and the number . How many positive integer divisors does the number  have ?  Source of the problem American Mathematics Competition  Topic Number Theory...