Complete the following statement In a city of 2384 people at
Complete the following statement:
In a city of 2,384 people, at least _______ have the same pair of first and last initials.
Solution
Answer: 4
Let us suppose no 4 people have the same pair of initials.
Total number of \"pair of initials\"=26*26=676
At most 3 people can share an initial.
Then, maximum number of people =676*3=2028 < 2384
There are more people (more than 2028) so, some more people will have to share an initial.
Now, it is possible that not all initials are shared by more than 4 people as
676*4= 2704 > 2384
So, atleast 4 people have the same pair of initials.
Note- answer may vary based on the interpretation of the question.
