Consider two sets A = { 2 , 3 , 5 , 7 , 11 , 13 } A = {2, 3, 5, 7, 11, 13} A = { 2 , 3 , 5 , 7 , 11 , 13 } and B = { 1 , 8 , 27 } B = {1, 8, 27} B = {...

Question

Consider two sets

A={2,3,5,7,11,13}A = {2, 3, 5, 7, 11, 13}
and
B={1,8,27}B = {1, 8, 27}
. Let
ff
be a function from
AA
to
BB
such that for every element
bb
in
BB
, there is at least one element
aa
in
AA
such that
f(a)=bf(a) = b
. Then, the total number of such functions
ff
is:

Options

A.

540

B.

537

C.

665

D.

667

cat 2024functionsonto functionscombinatorics

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