Question

Professor Bartlett teaches a class of 13 students. She has a visually challenged student, Louise, who must sit in the front row next to her tutor, who is also a member of the class Assume that the front row has six chairs, and the tutor must be seated to the right of Louise. How many different ways can Professor Bartlett assign students to sit in the first row? The number of ways to sit in the first row under these conditions is

Answer 1

what do u think
if there are rows count the seats with the amount of stuents that are in the class

Answer 2

The wording is a bit unclear, but I will assume that the tutor is counted as one of the 13 students? (not sure what exactly they mean by "member of the class"?)

In any case, try considering Louise + her tutor as one "unit" in the row, with 4 leftover seats for the remaining 11 students. There are 5 possible arrangements of the Louise + tutor "unit", along with 11*10*9*8 possibilities for the remaining 4 seats (11 students for the first, 10 for the second, etc.). However, you must also multiply this by 2, since you double the number of possibilities by considering that Louise + the tutor can switch places.