Fun with Polygons!

Discrete Mathematics Level 3

Ahmed rolled an eight sided polygon six times. Each face of the polygon has a number from 1 to 8 painted on it. No two numbers are repeated. Each roll yields one number face up.

[1] The first roll yields an even number.

[2] The second roll yields an odd number.

[3] The third roll yields the number 5.

[4] The fourth roll yields a number smaller than 4.

[5] The fifth roll yields the same number as the fourth roll.

[6] The sixth roll yields a number smaller than the fifth roll.

Based on this, which of the following must be true?


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