Mastermind 4.4.4: The game of Mastermind requires players to select a code consisting of a sequence of four pegs, each of which may be of any of six colors: red, green, blue, yellow, white, and black. a) How may different codes are there? b*) How may different codes are there that have two or more pegs of the same color? Hint: This quantity is the difference between the answer to (a) and another easily computed quantity. c) How many codes are there that have no red peg? d*) How many codes are there that have no red peg but have at least two pegs of the same color