0 votes
178 views
in SETS, RELATIONS AND FUNCTIONS by (98.9k points)
edited

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 ___

1 Answer

0 votes
by (98.9k points)
selected by
 
Best answer

Correct answer is 28 

Explaination:

No. of subsets of A=2m
No. of subsets of B=2n
2m=2n+112
2m−2n=112

2n(2m−n−1)=112
2n(2m−n−1)=24(23−1)
n=4
m−n=3
m−4=3
⇒m=7
m×n=28
=28

Related questions

Doubtly is an online community for engineering students, offering:

  • Free viva questions PDFs
  • Previous year question papers (PYQs)
  • Academic doubt solutions
  • Expert-guided solutions

Get the pro version for free by logging in!

5.7k questions

5.1k answers

108 comments

554 users

...