1. Tardigrade
  2. Question
  3. Mathematics
  4. If A = 1,2,3,4,5,6, then the number of subsets of A which contain at least two elements is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If A = {1,2,3,4,5,6}, then the number of subsets of A which contain at least two elements is

KCETKCET 2020

Solution:

Total number of subsets of $A$ is $2^{ n (A)}=2^{6}=64$
Number of subsets of A which contain at least two elements is
$64- \left({ }^{6} C _{0}+{ }^{6} C _{1}\right)$
$=64-(1+6)$
$=57$