Consecutive Integers (plus more on Odds and Evens)

Consecutive Integers (plus more on Odds and Evens)

In our last post, we left you with a GMAT Official Guide Data Sufficiency problem to tackle regarding Odd/Even Number Theory. Here it is, if you didn’t get a chance to do it before: If x and y are integers, is xy even? (1) x = y + 1. (2) x/y is an even integer....
Independent vs. Dependent Probability

Independent vs. Dependent Probability

Independent vs. Dependent Probability As promised last time, we’ll return to some strict GMAT probability today. Specifically, we’ll discuss the difference between independent and dependent probability. This simply refers to whether or not the events involved are...
Combinations with Restrictions

Combinations with Restrictions

In our previous post, we discussed how GMAT combinatorics problems can involve subtracting out restrictions. However, we discussed only PERMUTATIONS and not COMBINATIONS. Today, we’ll take a look at how the same technique can be applied to COMBINATION problems. This...
What Happens When Permutations Have Repeat Elements?

What Happens When Permutations Have Repeat Elements?

As promised in the last post, today we’ll discuss what happens when we have a PERMUTATIONS situation with repeat elements. What does this mean exactly? Well, let’s return to the basic example in our intro post on GMAT combinatorics: If we have five distinct paintings,...
A Continuation of Permutation Math

A Continuation of Permutation Math

Review of Example From Last Post Last time, when we started our discussion of GMAT Combinatorics, we gave a brief example of GMAT permutations in which we had five paintings and asked how many arrangements could be made on a wall with those paintings. As it turns out,...