Just letting all my friends know, i am deleting this account and making a new one same username and profile picture so you know it is me. the reason why i have to do this is because of a bully who keeps threating me, is call Jacob, aka Deathbed14, please do not worry, my parents know and the police is sorting him out.

Ihave buncha points. does anyone want any?

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.

What are some ways to use a range name in a formula? check all that apply. in the defined names group, click use in formula, and then select the desired name. begin typing the name in the formula, select a name from the autocomplete list, and use the arrow keys and tab key to enter the name in the formula. begin typing the formula, and then click and drag with the mouse to select the cells to include in the formula. right-click one of the cells in the range. click formula options, and use the dialog box to add the name.