GATE 1995
What is the determinant of the 3 × 3 matrix A = \[\begin{bmatrix}3 & 0 & 0\\1 & 2 & 0\\4 & 5 & 4\end{bmatrix}\]?
A fair coin is tossed 4 times. What is the probability of getting all Tails?
What is the degree of each vertex in a 3-regular graph with 6 vertices?
In a connected planar graph with 6 vertices and 4 faces, how many edges are present?
If A is a 3 × 3 matrix with det(A) = 4, what is the value of det(2A)?
What is the value of C(7, 0)?
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…
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