A. Convert the following "rule method" into a "roster method" to describe each set. Tell whether the set is finite or infinite. 1. The set of distinct letters in the word "infant". 2. The set of vowels in the English alphabet. 3. The set of negative integers. 4. The set of positive even integers. 5. The set of points contained in a line.

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Discrete Math / C++ Positive vote for your own correct and clear answer. Thank You.

Express the set using the roster method. {x|XEN and 30 ≤x≤90} Choose the correct answer below. OA. Ø O B. (30, 31, 32, 33, ..., 90} O C. {..., 27, 28, 29, 91, 92, 93, ...} O D. 31, 32, 33, 34, .... 90}

Determine whether the statement below is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of n distinct objects is n!. Choose the correct answer below. O A. The statement is true. O B. The statement is false. A true statement is, "The number of different unordered arrangements of n distinct objects is n!." O C. The statement is false. A true statement is, "The number of different ordered arrangements of n distinct objects is n." O D. The statement is false. A true statement is, "The number of different ordered arrangements of n distinct objects is (n- 1)!."

Determine whether the following pair of sets is equivalent. Justify your answer. {a, b, c, d,.., z} and {1, 2, 3, 4,.., 26} Are the sets equivalent? A. No, the two sets have a different number of elements. O B. No, the two sets do not have any of the same elements. C. Yes, both sets have the same number of elements. OD. Yes, both sets are subsets of larger sets.

In the following Venn diagram, U is the set of students in a class, A is the set of students who play soccer, and B is the set of students who play baseball. Determine how many students play soccer or baseball.   Venn DiagramA Venn diagram with a rectangle labeled U containing two overlapping circles labeled A and B. The area where the two circles overlap contains Dan, Max; the area for A only contains Faye, Sue, Tye; the area for B only contains Ada, Kate, Sam, Tim; and the area outside of both circles contains Ann, Bob, Eli, Jill, Liam, Paul.UAnnBobEliJillLiamPaulAFayeSueTyeDanMaxBAdaKateSamTim