Answer
n(A∪B) = 47
Work Step by Step
Given,
The set A contains 12 numbers and 18 letters.
number of elements in set A n(A) = 12 + 18 = 30
set B contains 14 numbers and 10 letters
number of elements in set B i.e. n(B) = 14 + 10 = 24
One number and 6 letters are common to both sets A and B.
The common elements of both sets is n(A∩B) = 1+6 = 7.
Formula for cardinal number of union of set is:
n(A∪B) = n(A)+n(B) - n(A∩B)
=30 +24 -7
= 54 -7
=47
n(A∪B) = 47
