Verify that the proposition (p ^ q) ^ ~ (p v q) is a contradiction.

How many ways can a judge award first, second, and third places in a contest with 20 contestants?

There are twelve children in a kindergarten class. Find the number of ways that the twelve children play three different games if four children are to play each game.

For more resources related to combinatorial analysis and discrete mathematics, check out

Best Book Buys - for some books relating to combinatorial analysis

Best of the Web Math Category - lists quality sites relating to all aspects of mathematics

Combinatorics Problems - a collection of problems in combinatorics

Generating Functions - interactive introduction to generating functions

Each toss of a quarter will produce either a head or a tail. Let A = {Q, T} denote the set of outcomes. Find A³, n(A³), and explain what A³ represents.