A school has four art teachers, three music teachers, and eight history teachers. In how many ways can a student be assigned an art teacher, music teacher, and a history teacher?

45

68

who correct

just did it its 96

yeah its 96 ok

To find the number of ways a student can be assigned an art teacher, music teacher, and history teacher, we can use the concept of multiplication principle.

The multiplication principle states that if an event can occur in m different ways, and for each of those ways, a second event can occur in n different ways, then both events together can occur in m * n different ways.

In this case, there are 4 ways to assign an art teacher (since there are four art teachers), 3 ways to assign a music teacher (since there are three music teachers), and 8 ways to assign a history teacher (since there are eight history teachers).

Using the multiplication principle, we can calculate the total number of ways a student can be assigned an art teacher, music teacher, and history teacher as follows:

Total number of ways = number of ways to assign an art teacher * number of ways to assign a music teacher * number of ways to assign a history teacher

Total number of ways = 4 * 3 * 8
= 96

Therefore, there are 96 ways in which a student can be assigned an art teacher, music teacher, and history teacher.