### Home > CCG > Chapter 10 > Lesson 10.3.2 > Problem10-127

10-127.

For the homecoming football game the cheerleaders at High Tech High printed each letter of the name of the school’s mascot, WIZARDS, on a large card. Each card has one letter on it, and each cheerleader is supposed to hold up one card. At the end of the first quarter, they realize that someone has mixed up the cards. Homework Help ✎

1. How many ways are there to arrange the cards?

Try using a factorial to represent the different arrangements.

2. If they had not noticed the mix up, what would be the probability that the cards would have correctly spelled out the mascot?

$\frac{1}{5040}$