Answer :
The smallest number of students so that the random selection of that number of people will guarantee that at least 14 people can be found among the selection who were born in the same month is 25.
What are selections?
A selection principle in mathematics is a rule that states it is possible to obtain mathematically important objects by choosing elements from predetermined sequences of sets. The theory of selection principles investigates these ideas and how they relate to other mathematical characteristics.
Suppose we start with 12 people whose birth months are all different.
If there we add to make 13 people then we can say that at least 2 were born in the same month as there are 12 months in a year.
If we add another student then he could have the same month date as the other 2 but he is more likely to have another birth month.
So we could go on adding 1 student 6 times and get 7 pairs of students with the same birth month.
This is very unlikely but possible.
Which eventually leads us to the smallest number of students is 25 students.
To learn more about selections, visit the link below:
https://brainly.com/question/20038512
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