Question

The number of functions that can be defined from {1 2 3 4} into {a b c} 1) 32 2) 81 3) 16 4) 64​

Answer 1

Answer:

If A and B are two sets having m and n elements such that 1≤n≤m

Then, no. of surjection =  

r=1

∑

n

​  

(−1)  

n−r

   

n

C  

r

​  

r  

m

 

Number of surjection from A to B

=  

r=1

∑

2

​  

(−1)  

2−r

   

2

C  

r

​  

(r)  

4

 

=(−1)  

2−1

   

2

C  

1

​  

(1)  

4

+(−1)  

2−2

   

2

C  

2

​  

(2)  

4

=−2+16

=14

Hence, option A is correct.

Step-by-step explanation:

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