Can Ayush survive?

Ayush is trying to go to the coordinates \((6,6)\) from \((0,0)\). But in the way, on the coordinates \((3,1),(4,1),(3,2),(4,2)\) spider, cockroach, frog, monster,are there respectively. Ayush has to avoid all of them to survive. How many ways Ayush can survive and reach \((6,6) \) successfully?

Note: Ayush can move only right or up.

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