Let
a) Show that 111000 belongs to the language generated by G.
b) Show that 11001 does not belong to the language generated by G,
c) What is the language generated by G?
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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- Use the Venn diagram to determine whether the statements are equal for all sets E and F. E ∪ F and (E' ∩ F')' A Venn diagram with universal set U contains two intersecting circles labeled Upper E and Upper F. Each region is labeled as follows: Upper E only, roman numeral 1; Upper E and Upper F, roman numeral 2; Upper F only, roman numeral 3; U outside the circles, roman numeral 4.UEFIIIIIIIV Are E ∪ F and (E' ∩ F')' equal statements?arrow_forwardAssume that the universal set is the set of all lower case letters in the English Alphabet.Consider the following sets:A = {a, e, i, o, u}B = {t, a, u}C = {v, w, x, y, z}D = { } = ∅E = {l, m, n, o, p} 1. (A ∩ B ∩ E) ∪ C 2. (A ∩ U)’ ∩ D 3. (A’ ∪ B) ∪ U’ 4. U' 5. (D ∪ U)’ ∪ Carrow_forwardConsider a language which uses the following set of characters: Prefix set: {a e i} Small set: { bc d} Large set: { B C D} Punctuation set: { x y } This language must follow the following rules: i. A series must start with a prefix character ii. A series must end with a punctuation character iii. A caries can have up to but no more than 7 characters, excluding prefix and punctuation characters. iv. A series may not have more small characters than large characters, unless the series has a small character that immediately precedes the final punctuation character Which one of the following series do not follow all the rules of the language defined above?arrow_forward
- Let s be a string of length 2 with characters from {0, 1, 2}, and define statements a, b, c, and d as follows:a = “the first character of s is 0”b = “the first character of s is 1”c = “the second character of s is 1”d = “the second character of s is 2”. Describe the set of all strings for which each of the following is true. Attachmentarrow_forwardSuppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters * , < , > ! and # (a) How many different passwords are available for this computer system? (b) How many of these passwords contain at least one occurrence of at least one of the five special characters? (c) Using your answer to part (b), determine how long it takes a hacker to try every possible password, assuming that it takes one microsecond for a hacker to check each possible password. Please solve all 3 sub questionsarrow_forwardA OTT provider is interested to know that how its content is preferred by various regional groups. The content is divided in four categories. MNOIC: Movies not of Indian Context MOIC: Movies of Indian Context WSNOIC: Web Series not of Indian Context WSOIC: Web of Indian Context 3 regional groups are Metros, non-metros but urban cities, Rural India. Region And Content Metros Non-Metros but Urban Cities Rural India. MNOI: 65 26 12 MOIC 31 32 61 WSNOIC: 78 18 11 WSOIC: 44 36 54 The degrees-of-freedom for this Chi Square problem is 6? (True or False) The Expected Value of observed Frequency 65 (Row 1, Column 1) is 9? (True/False) The Value of Chi Square critical from table is 59? (True/False) The Value of Chi Square Statistics is 56? (True/False) [1 marks] The Expected Value of observed Frequency 54 (Row 4, Column 3) is 31? (True/False) The Expected Value of observed Frequency 44 (Row 4, Column 1) is 4? (True/false) The Expected…arrow_forward
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