Question

X={X:X is a factor of 24 } and y={x:x is a factor of 36} then verify n(A u B)+n(A n B)=n(A) +n(B)​

Answer 1

Answer:

set x={1, 2,3,4,6,8,12,24} so n(a) =8 and set y={1, 2,3,4,6,9,12,18,36}so n(b) =9 hence (AuB) ={1, 2,3,4,6,8,12,24,9,18,36} so n(AuB) = 11 and (AnB) ={1, 2,3,4,6,12} so n(AnB) =6 now put all this in formula toverify so n(AuB) +n(AnB) =11+6=17 and n(a) +n(b) =9+8=17 as here n(A u B) + n(A n B) =n(a) +n(b) hence verified