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Home » Thus, the total number of distinct labeling arrangements is \(\boxed243\). - AMAZONAWS

Thus, the total number of distinct labeling arrangements is \(\boxed243\). - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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Lattice points on a line segment between two points \((x_1, y_1)\) and...
\gcd(x_2 - x_1, y_2 - y_1) + 1
where \(\gcd\) denotes the greatest common divisor.
Compute the differences:
x_2 - x_1 = 7 - 1 = 6, \quad y_2 - y_1 = 8 - 2 = 6
Compute the gcd:
\gcd(6, 6) = 6
Add 1 to include both endpoints:
+ 1 = 7
Therefore, the number of lattice points on the line segment is:

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