Aunt Franny has sadly passed away. In her will, she has bequeathed her collection of 16 different antique figurines to her nephews, Andy, Nick, and Daniel. In her will it is stated that Andy must get at least four figurines, and Nick must be given exactly one fifth as many figurines as Daniel. In how many ways can the terms of Aunt Franny's will be fulfilled? O A. 3 16 16 O B. 42 10, 10 1 5 O C. 4! 2! 10! + 10! 1! 5! 16 16 16 D. 42 10 10 1 5 16 0 0, O E. 16! – (4! 2! 10! + 10! 1! 5!)

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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Aunt Franny has sadly passed away. In her will, she has bequeathed her collection of 16 different antique figurines to her nephews, Andy, Nick, and Daniel. In
her will it is stated that Andy must get at least four figurines, and Nick must be given exactly one fifth as many figurines as Daniel. In how many ways can the
terms of Aunt Franny's will be fulfilled?
O A. 3
16
16
O B.
42 10,
10 1 5
O C. 4! 2! 10! + 10! 1! 5!
16
16
16
D.
42 10
10 1 5
16 0 0,
O E. 16! – (4! 2! 10! + 10! 1! 5!)
Transcribed Image Text:Aunt Franny has sadly passed away. In her will, she has bequeathed her collection of 16 different antique figurines to her nephews, Andy, Nick, and Daniel. In her will it is stated that Andy must get at least four figurines, and Nick must be given exactly one fifth as many figurines as Daniel. In how many ways can the terms of Aunt Franny's will be fulfilled? O A. 3 16 16 O B. 42 10, 10 1 5 O C. 4! 2! 10! + 10! 1! 5! 16 16 16 D. 42 10 10 1 5 16 0 0, O E. 16! – (4! 2! 10! + 10! 1! 5!)
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