Go Pro!

Problems > The Maine Page > 2006

A Matrix Problem

Welcome back to the Maine Page! This year, all of our problems are going to involve topics covered in the five annual Maine Association of Math Leagues meets. New problems will be posted every week after the results of the first meet are posted on Until then, here's a little problem to hold you over:

Suppose that A, B, C, and D are real numbers such that the following matrix equation holds true:

Determine the value of the following determinant:




A Counting Problem

Draw six cards from a standard deck of 52 playing cards without replacement. How many [u]distinct[/u] ways can you choose these six cards so that:

1) The first card drawn is a spade,
2) the second card drawn is also a spade,
3) the third card drawn is a club,
4) the fourth card drawn is a diamond,
5) the fifth card drawn is a red card (either a diamond or a heart), and
6) the sixth and final card drawn is an ace?


Featured Games on This Site

Match color, font, and letter in this strategy game
Trap all the dots in this problem-solving puzzle

Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources
Pro Membership