Ms. Kelly is organizing a board game day. She has 7 different board games. She needs to organize the order that the games are played that day.S={Apples To Apples, Balderdash, Carcassonne, Dominion, Terraforming Mars,Wingspan, Galaxy Trucker}a) In how many ways can she play all 7 games?b) In how many ways can she play just 3 of the games?c) In how many ways can she play just 3 games if the last one must be TerraformingMars because that's everyone's favourite?d) In how many ways can she play just 3 games if Terraforming Mars must be played at some point that day because that's everyone's favourite?e) Apple to Apples and Balderdash are both considered "party" games, in how manyways can all the games be played if Apples to Apples and Balderdash are not playedone right after the other?