An ant sits on an infinite grid at (0, 0) as shown below. There is also food indicated by a dot at (5, 3). The ant is not aware yet of the oblique line (that's Broadway of the ant city), but she will be in part (e). (a) Assume that the ant senses where the food is and will start moving towards it by only making UP and RIGHT moves. How many possible paths are there that will bring the ant to the food? Hint: think of a bijection from the set of paths to some special set of binary words (what is that set?)