Lee wants to select 9 photos of his 20 to take on a trip. How many ways can he do this? Lee has decided to give his collection of 20 unique photographs to his three children. In how many ways can he partition his photo collection among this three children where it may be that some children get no photographs? Lee also has 500 dollars he wants to give his three children. In how many ways can he divide it among his three children? It may be the case that a child receives no money.

Algebra and Trigonometry (MindTap Course List)
4th Edition
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Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 4CC: a In solving a problem involving picking r objects from n objects, how do you know whether to use...
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Simplify each binomial coefficient or permutations to factorial fractions:
n!
n!
P(n, k) =
(n – k)!k!
(n – k)!
You need not simplify these expressions, such as 15' or 17!, in your response.
Photos and Money
iny
Lee wants to select 9 photos of his 20 to take on a trip. How many ways can he do this?
Lee has decided to give his collection of 20 unique photographs to his three children. In how
many ways can he partition his photo collection among this three children where it may be that
some children get no photographs?
Lee also has 500 dollars he wants to give his three children. In how many ways can he divide
it among his three children? It may be the case that a child receives no money.
Lee's children will be upset if he doesn't give each of them at least 50 dollars. How many ways
can Lee partition his money so his children won't be upset?
Transcribed Image Text:Simplify each binomial coefficient or permutations to factorial fractions: n! n! P(n, k) = (n – k)!k! (n – k)! You need not simplify these expressions, such as 15' or 17!, in your response. Photos and Money iny Lee wants to select 9 photos of his 20 to take on a trip. How many ways can he do this? Lee has decided to give his collection of 20 unique photographs to his three children. In how many ways can he partition his photo collection among this three children where it may be that some children get no photographs? Lee also has 500 dollars he wants to give his three children. In how many ways can he divide it among his three children? It may be the case that a child receives no money. Lee's children will be upset if he doesn't give each of them at least 50 dollars. How many ways can Lee partition his money so his children won't be upset?
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