Salve the following problems using Venn diagram. 1. The 150 Grade 7 students participated in school's Math Olympics. 64 students registered in Math Trail, 78 students registered in Amazing Race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail only and in Amazing Race only? Are there students who did not registered in both events, how many? 2 The Rar Company ofers two brands of shampoo: brand H and brand S. 100 people were surveyed and their brand preferences are as follows: 50 people ked brand Hand 35 people liked brand S. What is the same number of people who liked both H and S? What is the minimum number of people who liked both Hand S? what is the minimum number of people who do not like any of the brand?​