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a. The lazy math teacher has a class of 31 students and wants to assign some of them A's, some B's, some C's, some D's, and some F's. If it is not important to the teacher how many of each grade is assigned, how many ways can they choose how many of each to give?

a. The lazy math teacher has a class of 31 students and wants to assign some of them A's, some B's, some C's, some D's, and some F's. If it is not important to the teacher how many of each grade is assigned, how many ways can they choose how many of each to give?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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DISCRETE MATH problem

**Problem 12: A lazy math teacher is writing an exam.** a. The lazy math teacher has a class of 31 students and wants to assign some of them A’s, some B’s, some C’s, some D’s, and some F’s. If it is not important to the teacher how many of each grade is assigned, how many ways can they choose how many of each to give? b. The lazy math teacher has a class of 31 students and wants to assign 3 A’s, 6 B’s, 10 C’s, 6 D’s, and the rest F’s. It is not important to the teacher which student gets which grade. How many ways can this assignment be done?
Transcribed Image Text:**Problem 12: A lazy math teacher is writing an exam.** a. The lazy math teacher has a class of 31 students and wants to assign some of them A’s, some B’s, some C’s, some D’s, and some F’s. If it is not important to the teacher how many of each grade is assigned, how many ways can they choose how many of each to give? b. The lazy math teacher has a class of 31 students and wants to assign 3 A’s, 6 B’s, 10 C’s, 6 D’s, and the rest F’s. It is not important to the teacher which student gets which grade. How many ways can this assignment be done?
Expert Solution
Step 1

a. Total Number of Students = 31

Any of them can any grade. A,B,C,D,E.

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