S is a set of strings over the alphabet {a, b}* recursively defined as: Base case: a E S, bES Recursive rules: If x e S, then Rule 1: xaa e S Rule 2: bbx e S List all the strings in S of length 3. Ex: aaa, bbb

Q: Sis a set of strings over the alphabet {a, b}* recursively defined as: Base case: a e S Recursive…

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Q: How many conjugacy classes are there in S7? (a) 6 (b) 9 (c) 12 (d) 15

A: We know  that, In general, the number of conjugacy classes in the symmetry group Sn is equal to the…

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A: Step 1:The axiom  x + y = y + x describes the commutative property in Boolean algebra. This property…

Q: S is a set of arithmetic expressions recursively defined as follows Base case: Every variable from…

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Q: Give a recursive definition of the set S of positive integer powers of 3, e.g. 3^ for n a positive…

A: This is a problem of mathematical induction, logic and reasonning.

Q: Multiplication in Boolean algebra is equivalent to the AND function. Select one: True False

A: Multiplication in boolean algebra is equivalent to the AND function. For example,take 0 and 1 in…

Q: Example 8: Arranging students into presentation groups If a class has 28 students, how many…

A: In a class of 28 students We have to find how many different arrangements can five students give a…

Q: How many 12-bit strings (that is, bit strings of length 12) are there which: a. Start with the…

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Q: Let A be the language third position from the four-state NFA N₂ recog 91 0,1

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Q: Suppose that an is defined recursively by an an-1-1 and that a = 2. Find a3. = ao = 2 a₁ = =a² - 1 =…

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Q: An = n! recursively. Include initial condition. an : (п +1)аn-1, ал —D1 ат — пап-1, ај — 0 аn —…

A: Option (3) is correct.

Q: Use Pascal's Triangle to expand the binomial (x + 1)° O 25 + 5x4 + 10x + 10x2 + 5x + 1 O g5 - 5x1-…

A: Pascal's triangle…

Q: Each character in a password is either a digit [0-9] or lowercase letter [az]. How many valid…

A: We shall count this using basic mathematics.

Q: Find the recursive and explicit rule for -1, 3, 7, 11,... Recursive rule

A: This is a problem of series . Based on concepts and formulas we will answer the question.

Q: dæ Evaluate (16 + a2)

A: sec2x -tan2x=1 cos(2x) = 2cos2(x) -1 sin(2x)=2 sin(x) cos(x) ∫cosax dx =1asin(ax)+C