I want to pick the four remaining players for my fantasy football team. In total there are seven players who I like, each labelled with a letter corresponding to their surname: from Aston Villa: Cameron Archer (A), Emi Buendia (B), Matty Cash (C) from Liverpool: Virgil van Dijk (D) from Crystal Palace: Eberechi Eze (E) from Manchester City: Phil Foden (F), Jack Grealish (G) (2 marks) If the order in which I pick them doesn't matter, how many different sets of four players could I choose? ii. (3 marks) If I pick completely at random, with each of the possible sets from i being equally likely, what is the probability that I pick exactly one player from each team? (3 marks) If I pick completely at random, with each of the possible sets from i) being equally likely, what is the probability that I pick four players such that one player has a surname beginning with a vowel (A, E) while the remaining surnames begin with a consonant (B,C,D,F,G)? IV. (2 marks) If the order in which I pick them does matter, how many different orderings of four players can I make? V. (2 marks) If I pick completely at random, with each of the possible orderings from iv) being equally likely, what is the probability that the players' letters spell out the word "FACE", in the right order