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14 people buy item A while 13 people buy item B. Two people buy both items. How many people are there in all?
Question

14 people buy item A while 13 people buy item B. Two people buy both items. How many people are there in all?

A.

25

B.

26

C.

29

D.

27

Correct option is A

Given:

People who bought item A = 14

People who bought item B = 13

People who bought both A and B = 2

Solution:

Total distinct people = A + B − (A ∩ B)

=14 + 13 - 2 = 25

Alternate Method :

2 people bought both A and B

So:

Only A = 14 - 2 = 12

Only B = 13 - 2 = 11

Total distinct people = Only A + Only B + Both 

=12 + 11 + 2 = 25

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