Answer to Question #278068 in Discrete Mathematics for Himanshi

Question

The chairs of an auditorium are to be labeled with a letter and a positive integer

not exceeding 100. What is the largest number of chairs that can be labeled

differently?

Answer 1

Taking into account that the English Alphabet consists of 26 letters, by Combinatorial Product Rule we conclude that the largest number of chairs that can be labeled differently is equal to $26\cdot 100=2,600.$