Discrete Mathematics Burnside Theorem Online Exam Quiz

Discrete Mathematics Burnside Theorem GK Quiz. Question and Answers related to Discrete Mathematics Burnside Theorem. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Burnside Theorem

How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16?

Options

A : 76967234

B : 5652209

C : 14414400

D : 8686214

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If he 4 sides of a square are to be colored by colors. How many different colourings with 50 colours are there if two arrangements that can be obtained from each other by rotation are identical?

Options

A : 773762

B : 363563

C : 4536822

D : 1563150

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_______ characterizes the properties of distributive lattices.

Options

A : Congruence Extension Property

B : Algebraic extension property

C : Poset

D : Semigroup

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Invariant permutations of two functions can form __________

Options

A : groups

B : lattices

C : graphs

D : rings

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If we take a collection of {?, {2}, {3}, {5}} ordered by inclusion. Which of the following is true?

Options

A : isomorphic graph

B : poset

C : lattice

D : partially ordered set

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An isomorphism of Boolean algebra is defined as _______

Options

A : order isomorphism

B : unordered isomorphism

C : order homomorphism

D : hyper-morphism

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Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is?

Options

A : p+6

B : p9

C : pp

D : 3!*p2

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Which of the following is not an abelian group?

Options

A : semigroup

B : dihedral group

C : trihedral group

D : polynomial group

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Suppose that H be an X-set and suppose that a?b and |Xa|=|Xb|, the which of the following is true?

Options

A : Xa is powerset of Xb

B : Xa is isomorphic to Xb

C : Xa is homomorphic to Xb

D : Xb is the subset of Xa

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Suppose P(h) is a group of permutations and identity permutation(id) belongs to P(c). If ?(c)=c then which of the following is true?

Options

A : ?-1?P(h)

B : ?-1?P(h)

C : ?-1?P(h)

D : ?-1?P(h)

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