Possible grades for a class are a, b, c, d, and f. (no +/− 's.)
(a) how many ways are there to assign grades to a class of eight students?
(b) how many ways are there to assign grades to a class of seven students if nobody receives an f and exactly one person receives an a?

a) 390,625, b) 2916.

Step-by-step explanation:

Since we have given that

Number of possible grades = 5

a) Number of students = 8

Using the "Fundamental theorem of counting", we get that

b) Number of students = 7

Number of students receive F = 0

Number of students receive A = 1

Number of remaining grades = 4

So, Using fundamental theorem of counting , we get that

Hence, a) 390,625, b) 2916.

a. she will receive a refund of $278.

step-by-step explanation: