Evaluate the limit: lim (x → 2) [(x^2 - 4) / (x - 2)].

In how many ways can 3 distinct letters be selected from a set of 5 distinct letters?

An urn contains one red ball and one blue ball. At each step, a ball is picked uniformly at random from the urn, and this ball tog…

Consider 4 x 4 matrices with their elements from {0, 1}. The number of such matrices with even number of 1s in every row and every…

For n > 1, the maximum multiplicity of any eigenvalue of an n x n matrix with elements from R is

Let n > 1. Consider an n x n matrix M with its elements from R. Let the vector (0, 1, 0, 0, ..., 0) in \(R^{n}\) be in the null sp…