I have problems in such types of problems... Please teach me how to approach such questions...
 

Asked by nitishkrnehu09 | 9th Dec, 2017, 01:38: PM

Expert Answer:

begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals straight f left parenthesis straight y right parenthesis
straight x not equal to straight y
then space it space is space many space one space function
also space it space is space given space that space there space are space only space two space preimages space in space straight A space
for space straight a space given space element space of space straight B
now space we space can space make space 3 space groups space of space space 2 space elements space from space elements space of space straight A
no. space ways space to space make space 3 space groups space of space 2 space element space each equals 6 cross times 5 equals 30 space ways
now space selecting space one space group space from space 3 space equals 3 space ways
this space one space group space has space space 5 space options space left parenthesis elements space of space straight B right parenthesis
second space group space has space 4 space options space
third space has space 3 space options
so space total equals 30 cross times 3 cross times 5 cross times 4 cross times 3 equals 5400
space end style

Answered by Arun | 17th Dec, 2017, 04:39: PM