Let the Universal Set, S, have 140 elements. A and B are subsets of S. Set A contains 76 elements and Set B contains 16 elements. If the total number of elements in either A or B is 91, how many elements are in A but not in B?

the number of elements are in A but not in B

n (A-B) = 75

Step-by-step explanation:

Given universal set (S) = 140

also given A and B are subsets of 'S'

Given n (A) = 76, n (B) = 16 and n (AUB) = 91

we have to find n (A-B) ?

we can use formula

n (A-B) = n (AUB) - n (B)

= 91 - 16 = 75

Final answer:-

the number of elements are in A but not in B

n (A-B) = 75