A 2 $$\times$$ 𝟐 matrix is filled with four distinct integers randomly chosen from the set {1,2,3,4,5,6}.
Then the probability that the matrix generated in such a way is singular is

A

$$\frac{2}{45}$$

B

$$\frac{1}{45}$$

C

$$\frac{4}{15}$$

D

$$\frac{1}{15}$$