Two finite sets A and B have small m&n no. of lements and m>n, the difference between their subsets is 56. Find the value of m&n.
jyotiyadav55:
are you sure that the difference is 56
yes
Let A and B be two sets having m and n numbers of elements respectively
number of subsets of A=2m
number of subsets of B=2n
according to question
2m-2n=56
2n(2m-n-1)=23(23-1)
therefore,
n=3 and m-n=3
m=6
number of subsets of A=2m
number of subsets of B=2n
according to question
2m-2n=56
2n(2m-n-1)=23(23-1)
therefore,
n=3 and m-n=3
m=6
this is the solution
that's not 23 , that's 2cube ...and i didn't understand that part
help pls
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