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27 October, 09:11

Jamal is playing a card game with his friends. The deck has red and black cards numbered 1-12. Red cards represent negative numbers, black cards represent positive numbers. If he needs a product of 24, what are the possible combinations of cards Jamal could use?

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  1. 27 October, 09:27
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    First let us assume all black cards, the numbers that will result in 24 is:

    2 * 12

    3 * 8

    4 * 6

    Similar case with the red cards:

    -2 * - 12

    -3 * - 8

    -4 * - 6

    Assuming the product can be negative, so we can also take the combination of two cards (1 red and 1 black):

    2 * - 12

    3 * - 8

    4 * - 6

    -2 * 12

    -3 * 8

    -4 * 6

    So there are a total of 12 combinations.
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