In a very hotly fought battle in a small war 270 men fought, Ask an Expert

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In a very hotly fought battle in a small war 270 men fought. Of these, 90 lost an eye, 90 lost an arm, and 90 lost a leg: 30 lost both an eye and an arm, 30 lost both an arm and a leg, and 30 lost both a leg and an eye; 10 lost all three. Find, for k = 0, 1, 2, 3, the number of men who suffered of these injuries: (i) exactly k, (ii) at least k, (iii) no more than k.

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