From the following Venn diagram identify the number of persons who are either good speakers or post graduates or doctors.<\/p>\n
[amp_mcq option1=”6″ option2=”7″ option3=”15″ option4=”22″ correct=”option4″]<\/p>\n
The question asks for the number of persons who are either good speakers or post graduates or doctors. This corresponds to the union of the three sets (S $\\cup$ P $\\cup$ D).
\nThe number of elements in the union of sets is the sum of the numbers in all the distinct regions covered by the circles.
\nThese regions are:
\n– Only Good Speakers (S only): 3
\n– Only Post Graduates (P only): 5
\n– Only Doctors (D only): 4
\n– Good Speakers and Post Graduates only (S $\\cap$ P only): 2
\n– Good Speakers and Doctors only (S $\\cap$ D only): 1
\n– Post Graduates and Doctors only (P $\\cap$ D only): 3
\n– Good Speakers, Post Graduates, and Doctors (S $\\cap$ P $\\cap$ D): 4<\/p>\n