Lara, Sara and Cara are good friends. They have a set of 12 cards each with one of the letters 5. Li, X, Y, E, U, T, I, H, A, V, B on them. For the purpose of this question, a word is any sequence of letters, regardless as to whether it makes any sense as a word in the English language and a sentenoe is any combination of words, regardless of whether it is meaningful. {a} First Lara randomly chooses one card. Then Sara randomly chooses 4- cards from the re maining cards. Then Cara randomly chooses 3 cards from the remaining cards. Each girl puts their letters together in random order to form a word. Then they put their words to gether to form a sentenoe, with Lara's word first, Sara's word second and lClara's word last. How many different outcomes of the sentence are possible? {b} Compare the result obtained in {a} to PEIZ, E} and argue if you expect the two to be the same or why you expect them to differ? {short answer suffices} (c) 1What is the probability that the sentence resulting in [a]: reads '1 love you'? 1What is the probabiIity that the sentenoe resulting in {a} reads '1 hate you'? {till Instad of putting all three words together to form a sentence, the girls now randomly choose {for example by drawing sticks} one of their words and put that word on the table. How many different outcomes are possible