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# Discrete Maths : Nuclear Quiz 2

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Question 1

Let A and B be finite sets with | A | = n and | B | = m. How many functions are possible from A to B with A as the domain?

Question 2

The inverse of function f(x) = x3 + 2 is ____________

Question 3

Consider the poset ({3, 5,9, 15, 24, 45},|).

Which of the following is correct for the given poset?

Question 4

Let A ={1, 2, 3, ………, 10}. A relation R on A is defined by “a R b iff a is divisor of b”.

Number of edges in the Hasse diagram of the poset

Question 5

The following is the Hasse diagram of the poset [{a, b, c, d, e}, ≤]

The poset is

Question 6

______ and _______ are the two binary operations defined for lattices.

Question 7

Condition for monoid is __________

Question 8

A group (M,*) is said to be abelian if ___________

Question 9

A subgroup has the properties of ________

Question 10

Let G be a finite group on 84 elements. The size of a largest possible proper subgroup of G is _______ .

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