Grades 11-12 Video Solutions 2023-2023_11-12

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Video Summary

Hannah ranks first in two categories of a bouldering competition with 13 players, determining her lowest possible overall ranking. To achieve the minimum possible product of rankings (thus maximizing her score), Hannah's scores in the categories are initially assessed. With a score of 1 x 1 x 13 = 13, competitors above Hannah must have scores of 12 or less. The top-ranked competitor could have a score of 8 (ranking 2nd, 2nd, 2nd), and another could have a score of 12 (ranking 3rd, 4th, 1st). Since no three competitors can surpass her score of 13, Hannah's lowest possible ranking is 3rd.