How many different schedules can Mark possibly have if he takes one class per period?

Question

When making his 6-period class schedule, Mark has 2 options of classes to take for first period, 4 options for second period, 1 option for third period, 1 option for fourth period, 3 options for fifth period, and 5 options for sixth period. How many different schedules can Mark possibly have if he takes one class per period?

Answer 1

According to the fundamental counting principle,

You have two choices,

A & B

To find the possibilities of doing thing A and thing B, you take A * B. Here we have 6 choices.

So,

2 options for first period,

4 options for second,

1 option for third,

1 option for fourth,

3 options for fifth,

5 options for sixth.

=2 * 4 * 1 * 1 * 3 * 5

=120

He can make 120 different schedules.