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Home » The radius of the sphere is 5 centimeters. - Network4

The radius of the sphere is 5 centimeters. - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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\binom{13}{4} - \binom{5}{4} = 715 - 5 = 710
Thus, the number of ways to select such a sequence is $\boxed{710}$.
Question: A robotics engineer is programming a robot to navigate a gri...
Solution: First, compute the total number of paths from the bottom-lef...
\binom{10}{5} = 252
Next, compute the number of paths that pass through the forbidden squa...
From (1,1) to (3,3): 2 R and 2 U moves → $\binom{4}{2} = 6$
From (3,3) to (5,5): 2 R and 2 U moves → $\binom{4}{2} = 6$
So, number of paths through (3,3) is:
Thus, the number of valid paths avoiding (3,3) is:

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