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In a football tournament there are 50 teams. Each team plays with every other team exactly once. How many matches will have to be organised…

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If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1,…

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A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments. To identify the mice, the lab has prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27° Celsius. Also,…

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A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments. To identify the mice, the lab has prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27° Celsius. Also,…

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