There are 13 teachers and 8 researchers working in a Department. A committee of 5 people needs to be formed. How many different committees can be formed containing: a) 3 teachers and 2 researchers? 2261 b) At least 4 teachers? 28569

There are 13 teachers and 8 researchers working in a Department. A committee of 5 people needs to be formed. How many different committees can be formed containing: a) 3 teachers and 2 researchers? 2261 b) At least 4 teachers? 28569

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

There are 13 teachers and 8 researchers working in a Department. A committee of 5 people needs to be formed. How many different committees can be formed containing:

a) 3 teachers and 2 researchers?
Answer: 2261

b) At least 4 teachers?
Answer: 28569

Expert Solution

Step 1

From the provided information,

Total teachers = 13

Total researchers = 8

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