You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins.
  1. You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need?
  2. How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?