How many sequences of 5 letters satisfy all three of the following conditions? • All 5 letters must be distinct. • At least one letter must be a consonant. • At least one letter must be a vowel. (There are 21 consonants and 5 vowels in the alphabet.)

How many sequences of 5 letters satisfy all three of the following conditions? • All 5 letters must be distinct. • At least one letter must be a consonant. • At least one letter must be a vowel. (There are 21 consonants and 5 vowels in the alphabet.)

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

How many sequences of 5 letters satisfy all three of the following conditions?
• All 5 letters must be distinct.
• At least one letter must be a consonant.
• At least one letter must be a vowel.
(There are 21 consonants and 5 vowels in the alphabet.)

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