Your sister asks you if it is possible to get an office productivity suite for free. What do you tell her?

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

Rafael needs to add a title row to a table that he has inserted in word. what should he do? use the alignment options. use the merge and center option for all the cells in the top row. use the merge and center option on the first two cells in the top row. none of the above

Brian wants to conduct an online search with a certain phrase. he intends to use the words books that belong to the 1800s in his search. how should he use the word that in his search?