Set Theory and Algebra MCQ - Sets

66:  

The number of functions from an m element set to an n element set is

A.

m + n

B.

mn

C.

nm

D.

m*n

 
 

Option: C

Explanation :

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67:  

If A is a finite set with n elements, then number of elements in the largest equivalence relation of A is

A.

1

B.

n

C.

n+1

D.

n2

 
 

Option: D

Explanation :

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68:  

The number of equivalence relations of the set (1, 2, 3, 4) is

A.

4

B.

15

C.

16

D.

24

 
 

Option: B

Explanation :

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69:  

If A and B be sets with cardinalities m and n respectively, then number of one-one mappings (injections) from A to B, when m < n, is 

A.

mn

B.

nPm

C.

nCm

D.

None of these

 
 

Option: B

Explanation :

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70:  

 If A = (x, y l, then power set of A is 

A.

{ |x| , |y| }

B.

{φ,|x|.|y|}

C.

φ,| x, y | }

D.

None of these

 
 

Option: D

Explanation :

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