+0  
 
0
36
1
avatar

200 exams are to be graded by 7 teaching assistants, 5 of which are undergraduate and 2 are graduate TAs. TAs are distinct and assume the exams are distinct. Each of the undergraduate TAs should get at most 20 exams to grade. How many ways are there for the TAs to grade the exams?

 May 17, 2021
 #1
avatar
0

Total exams = 200


Undergraduate TAs should get exams to grade =20 

 

Graduate TAs should get exams to grade = 200 -20 = 180
 

 

Ways that undergraduate TAs grade the exam =7c5 * 20 =21 * 20 = 420

 

Ways that graduate TAs grade the exam =7c2 * 180 =21 * 180 

                                                                                   = 3780

 

Total ways that TAs grade the exam = 7c5 * 20 + 7c2 * 180

 

                                                               =420 + 3780

                                                               = 4200

 May 18, 2021

17 Online Users

avatar
avatar
avatar