Given the letters A, B, C, D, E, F, G, H, I, J: (a) How many length-5 lists can be made from these letters if repetition is not allowed and the list must begin with a vowel? (b) How many length-5 lists can be made from these letters if repetition is not allowed and the list must begin and end with a vowel? (c) How many length-5 lists can be made from these letters if repetition is not allowed and the list must contain exactly one A?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 4ECP: A product’s catalog number is made up of one letter from the English alphabet followed by a...
Question

Given the letters A, B, C, D, E, F, G, H, I, J:

(a) How many length-5 lists can be made from these letters if repetition is not allowed and the list must begin with a vowel?

(b) How many length-5 lists can be made from these letters if repetition is not allowed and the list must begin and end with a vowel?

(c) How many length-5 lists can be made from these letters if repetition is not allowed and the list must contain exactly one A?

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