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Question

IfA={1,2,3},B={p,q,r,s} then arrange the following in ascending order
a. number of functions from A into B
b. number of constant functions from B to A
c. number of one one functions from A into B
d. number of onto functions from A into B

A
d,b,c,a
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B
b,c,a,d
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C
c,b,d,a
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D
d,a,b,c
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Solution

The correct option is B d,b,c,a
(a) Number of functions from A to B=4×4×4=64
(b) No of constant functions from B to A=3
(c) No of one - one functions from A to B=4!=24
(d) No of Onto functions from A to B=0

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