Q.1 In a group of 54 people, each likes music or dance. If the ratio of people who like music only and dance only is 5:4 and the number who like both is 18, find the number of people who like dance by using a venn diagram.

Can anyone me with 32,33,36,37,and 40.

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

How can constraints be used to model a real-world situation?