QuestionAvi can choose 1 math, 1 history, 1 literature, and 1 science class. How many schedules can Avi create? Calculate: $3 \times 2 \times 3 \times 3$ .

Studdy Solution

STEP 1

Assumptions1. Avi has to take one class in each subject. . There are3 different math classes, different history classes,3 different literature classes, and3 different science classes.
3. Each class in a subject is distinct and can be taken only once.
4. The order in which the classes are taken does not matter.

STEP 2

To find the total number of different schedules, we need to multiply the number of options in each subject together. This is because for each math class Avi could take, there are multiple options for the history, literature, and science classes.
$Total\, schedules = Number\, of\, math\, classes \\times Number\, of\, history\, classes \\times Number\, of\, literature\, classes \\times Number\, of\, science\, classes$

STEP 3

Now, plug in the given values for the number of classes in each subject to calculate the total number of schedules.
$Total\, schedules =3 \\times2 \\times3 \\times3$

STEP 4

Calculate the total number of schedules.
$Total\, schedules =3 \\times2 \\times3 \\times3 =54$ There are54 different schedules available for Avi.

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