Recall, you own 9 regular ties and 7 bow ties. You realize that it would be okay to wear more than two ties to your clown college interview. a. You must select some of your ties to wear. Everything is okay, from no ties up to all ties. How many choices do you have? your ties, b. If you want to wear at least one regular tie and one bow tie, but are willing to wear up to all how many choices do you have for which ties to wear? c. How many choices of which ties to wear do you have if you wear exactly 3 of the 9 regular ties and 2 of the 7 bow ties? d. Once you have selected 3 regular and 2 bow ties, in how many orders could you put the ties on, assuming you must have one of the bow ties on top?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Recall, you own 9 regular ties and 7 bow ties. You realize that it would be okay to wear more than two ties
to your clown college interview.
a. You must select some of your ties to wear. Everything is okay, from no ties up
to all ties. How many
choices do you have?
b. If you want to wear at least one regular tie and one bow tie, but are willing to wear up
how many choices do you have for which ties to wear?
to all
your ties,
c. How many choices of which ties to wear do you have if you wear exactly 3 of the 9 regular ties and 2
of the 7 bow ties?
d. Once you have selected 3 regular and 2 bow ties, in how many orders could you put the ties on,
assuming you must have one of the bow ties on top?
A
J
A
Transcribed Image Text:Recall, you own 9 regular ties and 7 bow ties. You realize that it would be okay to wear more than two ties to your clown college interview. a. You must select some of your ties to wear. Everything is okay, from no ties up to all ties. How many choices do you have? b. If you want to wear at least one regular tie and one bow tie, but are willing to wear up how many choices do you have for which ties to wear? to all your ties, c. How many choices of which ties to wear do you have if you wear exactly 3 of the 9 regular ties and 2 of the 7 bow ties? d. Once you have selected 3 regular and 2 bow ties, in how many orders could you put the ties on, assuming you must have one of the bow ties on top? A J A
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