Answer to Question #142099 in Discrete Mathematics for Promise Omiponle

Question

Use the Pigeonhole Principle to show that if there are 31 students in a class, then at least two have first names that begin with the same letter.

Answer 1

There are 26 letters in the alphabet. So by Pigeon Hole principle there are at least 2 students whose name starts with same letter.

It works for 27 students also.