What’s MoreNow it’s your time to try out the activities for independent practice. This is toensure that you develop the target skills you are expected to learn.Activity 2:Make a DifferenceDetermine whether each of the following situations involves permutations orcombinations.1.electing a president, a vice-president, and a secretary2.forming a committee3.selecting teachers for aseminar4.displaying frames on a wall5.creating a passcode6.arranging segments for avariety show7.drawing triangles throughcoplanar points8.awarding gold, silver, andbronze medals9.setting up seatingarrangements10.awarding 500-pesoconsolation prizesActivity 3:Permutation ProblemsRead, analyze, and solve the following problems.1.How many ways are there to elect a president, a vice-president, asecretary, and a treasurer from a group of 9 people?2.An exhibition hall has eight doors. In how many ways can you enterand leave the hall through different doors?3.You choose a 4-letter password for your account, but the system tellsyou that it is “weak”. So, you decided to add 3 numbers. How manychoices are possible?Activity 4:Combination ProblemsRead, analyze, and solve the following problems.1.Ten friends meet at a wedding, and each person greets each other witha hug. How many hugs take place?2.Seven points are in a plane so that no three of them are collinear.a.How many lines can be formed through these points?b.How many diagonals can be formed through these points?3.A five-member committee is to formed from 10 juniors and 9 seniors.a.In how many ways can the committee be formed, if there are norestrictions?b.In how many ways can the committee be formed if it must include 2juniors and 3 seniors?:s6