Question

Let the universal set, s, have 82 elements. a and b are subsets of s. set a contains 19 elements and set b contains 40 elements. If the total number of elements in either a or b is 45, how many elements are in b but not in a?

Answer 1

To find the number of elements in set b but not in set a, subtract the number of elements that are in both sets from the total number of elements in set b. The number of elements in set b but not in set a is 14.

Step-by-step explanation:

To find the number of elements in set b but not in set a, we need to subtract the number of elements that are in both sets from the total number of elements in set b.

First, we know that the total number of elements in either set a or set b is 45. This means that if we add the number of elements in set a (19) and the number of elements in set b (40), we need to subtract the number of elements that are in both sets to get the total number of elements in either set.

Therefore, the number of elements in set b but not in set a is 40 - (45 - 19) = 40 - 26 = 14.