Question

Possible grades for a class are A, B, C, D and F a) How many ways are there to assien grades to a class of eight (8) students? b) How many ways are there to assien grades to a class of 8 students if nobody receives an OF and exactly two (2) students receive a B?

Answer 1

Solution @ Possible grades ore Number of students = 8 A.B.CD and F. Ssssssss Each student has 5 choices. The number ways to assigh grades = 5X5X5X5 X5X5X5X5 = 58 = 390625 ways! by se solution ( First we select two students for grade B. . by 18) ways = 8! - 88786! 216! 2x6! =28 Then remaining 6 students has 3 grandes choices each Ċ A,C,D). They can be grading by 3*3*3*3*3*3 = 36 ways' Thus finally Number of ways to assign grades if nobody recives an F g exactly two student recieve a B = 28 X 36 = 120412 ways I » de op