JEE MAIN - Mathematics (2020 - 6th September Morning Slot - No. 6)
Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more
than the total number of subsets of B, then the value of m.n is ______.
Answer
28
Explanation
Number of subsets of A = 2m
Number of subsets of B = 2n
Given = 2m – 2n = 112
$$ \therefore $$ m = 7, n = 4 (27 – 24 = 112)
$$ \therefore $$ m $$ \times $$ n = 7 $$ \times $$ 4 = 28
Number of subsets of B = 2n
Given = 2m – 2n = 112
$$ \therefore $$ m = 7, n = 4 (27 – 24 = 112)
$$ \therefore $$ m $$ \times $$ n = 7 $$ \times $$ 4 = 28
Comments (0)
