Final answer:
To find the number of schedules that can be made if 6 classes are chosen from a list of 25, we use the combination formula nCr = n! / (r!(n-r)!). In this case, n = 25 and r = 6. Using the formula, we find that there are 177,100 schedules that can be made.
Step-by-step explanation:
To find the number of schedules that can be made if 6 classes are chosen from a list of 25, we can use the combination formula. The formula for combinations is given by nCr = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be chosen. In this case, we have n = 25 and r = 6.
Using the formula, we can calculate the number of schedules as:
nCr = 25! / (6! * (25-6)!)
= (25 * 24 * 23 * 22 * 21 * 20) / (6 * 5 * 4 * 3 * 2 * 1)
= 177,100
Therefore, there are 177,100 schedules that can be made if 6 classes are chosen from a list of 25.