Roman Numeral Puzzle February 3, 2012 The Super Bowl is the
championship game of the American league of professional
football teams — and an annual cultural event. The first Super
Bowl, won by the Green Bay Packers under head coach Vince
Lombardi, was in 1967, and wasn’t even called “Super Bowl” at
the time; the name didn’t attach to the game until Super Bowl
III, when Joe Namath of the New York Jets guaranteed a victory.
Roman numerals have been used to designate the Super Bowl ever
since. The game this year, between the Boston Patriots and New
York Giants, is Super Bowl XLVI; you can solve today’s exercise
while you watch the game on Sunday evening. John D. Cook turned
the wacky roman numerals of the Super Bowl into an exercise at
his blog; he was inspired by an advertisement for Super Bowl
XLVI on a pizza box. Cook asked his readers to compute how many
numbers can be expressed as roman numerals without duplicating
any of the symbols I, V, X, L, C, D or M. Your task is to
compute the number of roman numeral