Question

Penelope created a game using a bag of 26 tiles, each with a different letter of the alphabet written on it. She uses a stopwatch to time how fast she can create one 5-letter word from a set of five randomly selected letters. To play this game Penelope randomly draws a letter tile from the bag, writes down the letter and then places the letter tile back in the bag. She does this five times resulting in a set of five randomly chosen letters. Penelope plays the game with each 5‑letter combination only once. If she plans to play the game once for each of the possible 5‑letter combinations that can be randomly selected using the method described, what is the total number of games Penelope will play?

Answer 1

98