answer the following questions

Learning Task 2: Answer the following questions. 1. How do you determine if a situation involves combinations? 2. To find the total number of polygons that can be formed from 7 points on a plane with no three of which are collinear. Joy answered: C(7, 3) = F 41 3! = 7.6.5.M A! 31 7.8.5 3-2.1 = 35 different polygons Is Joy correct? Justify your answer? 3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12 parent- nominees and 7 teacher-nominees if there must be 8 parents in the BOD? b. After the 12 members are chosen, in how many ways can they elect among themselves the 7 top positions (president, vice president, and others)