Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • if n(U)=100,n(A)=30,n(B)=40 and n(Acap B)= 10. Find n(A^{c}cap B^{c})

\\\text{If } n(U)=100, \ n(A)=30, \ n(B)=40 \ \text{and } \ n(A\cap B)= 10. \text{ Find } n(A^{c}\cap B^{c})

Answers (1)

best_answer

The solution to this question can be solved by using the following formula:

n(U)=100       n(A)=30     n(B)=40       n(A\cap B)=10
                n(A^c\cap B^c)=?
  (A^c\cap B^c)=(A\cup B)^c      {De Morgan's Law}
                 
                       n(A\cup B)=n(A)+n(B)-n(A\cap B)
                                                40+30-10=60
                           n(A\cup B)^c=n(U)-n(A\cup B)
                                                  =100-60=40
                           n(A\cup B)^c=n(A^c\cap B^c)=40

Posted by

avinash.dongre

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2024 session 2 final answer key soon at jeemain.nta.ac.in; result on April 25
anam-khan

JEE Main 2024 Session 2: Last day to challenge answer key today
anam-khan

BTech admission 2024 without JEE; top government engineering colleges, upcoming entrance exams

Latest Question