Question

A Math professor must choose a schedule of four classes to teach, where two are chosen from a list of 24 Algebra classes, one is chosen from a list of 12 Statistics classes, and one is chosen from a list of 4 Calculus classes. In how many ways can the professor choose a different schedule.

Answer 1

Answer on Question #37699, Math, Statistics and Probability.

To find how many ways to choose the schedule professor has we have to calculate the product of 24 (how many different ways are to choose the first Algebra class), 23 (how many different ways are to choose the second Algebra class), 12 (how many different ways are to choose a statistics class), 4 (how many different ways are to choose a calculus class) and divide this product by 2!, because the order of choosing first and second Algebra classes is not important. So, we have: 13248 different ways.