Anwesha Biswas Tithi Loves Ice CreamsDiscrete Mathematics Level 3
My friend Anwesha Biswas Tithi loves ice creams and she studies at Khulna University. She visits the Ice Cream shop almost every day while she returns home from University. Anwesha Biswas Tithi's University is at the lowest right corner \(U\), Her home is at the point \(H\) and The ice cream shop is at the point \(I\). She is only allowed to move either upwards or to the left.
Today, as her mother is very sick, she has to go home quickly. As such, she decides to avoid temptation and skip visiting the ice cream shop completely.
How many different paths are there for her to take?