a) How many symmetric relations on an n-element set are there? b) How many ways are there to choose a dozen donuts from the 21 varieties at a donut shop? c) How many strings are there of 8 English letters that start with a vowel and letters in a string can be repeated?

a) How many symmetric relations on an n-element set are there? b) How many ways are there to choose a dozen donuts from the 21 varieties at a donut shop? c) How many strings are there of 8 English letters that start with a vowel and letters in a string can be repeated?

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

Solve the parts a,b,c by combinatorics.

a) How many symmetric relations on an n-element set are there?

b) How many ways are there to choose a dozen donuts from the 21 varieties

at a donut shop?

c) How many strings are there of 8 English letters that start with a vowel and letters in a string can be repeated?

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