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Suppose that a robot is placed on the Cartesian plane. At each step it is allowed to move either one unit up or one unit right, i.e., if it is at  then it can move to either
How many distinct paths are there for the robot to reach the point (10,10) starting from the initial position (0,0)?
  • a)
    20C10
  • b)
    220
  • c)
    210
  • d)
    None of the above.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Suppose that a robot is placed on the Cartesian plane. At each step it...
Say,  r = Move Right and 
u = Move Up
so using 10 combination of r and 10 combinations of u moves we get a solution.
Convert the graphical moves to text and one such solution we get =
{u, u, u, u, u, u, u, u, u, u, r, r, r, r, r, r, r, r, r, r} now all possible arrangements of them is given by =
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