You have a collection of 7 Scrabble tiles labelled A, B, C, D, E, F, and G. How many ways can you select a set of 3 tiles from your collection if you must select one vowel and two consonants?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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You have a collection of 7 Scrabble tiles labelled A, B, C, D, E, F, and G.

How many ways can you select a set of 3 tiles from your collection if you must select one vowel and two consonants?

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Step 1

7 scrabbles : {A, B, C, D, E, F, G}

select 3 at random 

P(one vowel and 2 consonants ) = ?

vowel : {A,E}

consonants:{B,C,D,F,G}

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