A professor has a class of 14 students and must assign a gra

A professor has a class of 14 students and must assign a grade of A, B, C, D, or F to each student. Unable to locate his grade records, he decides to assign the grades at random but not give anyone an F. In how many ways can the professor make the grade assignments?

Solution

No of possible ways for 1 student = 4

for 14 stuents = 4¹⁴ = 268435456ways (ans)