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Home » Ancient Math Revealed: The Pythagoras Triad Every Student Should Know! - jntua results

Ancient Math Revealed: The Pythagoras Triad Every Student Should Know! - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 We now count the number of outcomes where the sum of the three numbers is even. A sum is even if there are an even number of odd numbers in the sum (i.e., 0 or 2 odd numbers).

📌 The odd numbers from 1 to 6 are: 1, 3, 5 (3 options), and the even numbers are: 2, 4, 6 (3 options).

📌 Case 1: All three numbers are even.

📌 Each number has 3 choices (2, 4, 6):

📌 3^3 = 27 \text{ outcomes}

📌 Case 2: Exactly two numbers are odd, one is even.

📌 Choose which two of the three positions are odd:

📌 \binom{3}{2} = 3 \text{ ways}

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