Question

Fifty persons attend a meeting.
38 have brown hair.
29 have brown eyes.
23 have both brown hair and brown eyes.
How many have neither brown hair nor brown eyes?

Answer 1

Out of 38 persons having brown hair, 23 persons had brown eyes also; therefore (38-23=) 15 persons had only brown hair.
Out of 29 persons having brown eyes, 23 persons had brown hair; therefore (29-23=) 6 persons had only brown eyes.
That means (15 + 6 + 23 =) 44 persons either had brown hair or brown eyes. Therefore, the balance (50 - 44 =) 6 persons did not have either brown hair or brown eyes.
Ans : 6 persons have neither brown hair nor brown eyes.

Answer 2

6 persons has neither brown hair not brown eyes, 15 with brown hair only, 6 with brown eyes only and 23 has both.