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FIND THE ERROR Grant read the following axioms for a video game he is playing.
. There are four keys hidden on each level.
Each level ends when the player collects the third key.
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• The game has 10 levels.
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From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
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. there are 40 keys in the game.
• he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.