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 15ª or 17!, in your response.Photos and MoneyLee wants to hang 8 of his 20 photos in an ordered line on the wall above his desk. How manyways can he do this?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 howmany ways can he partition his photo collection among this three children where it may be thatsome children get no photographs?Lee also has 500 dollars he wants to give his three children. In how many ways can he divideit 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 wayscan Lee partition his money so his children won't be upset?

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Description: 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 15ª or 17!, in your response.Photos and MoneyLee wants to hang 8 of his 20 photos in an ord

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Lee wants to hang 8 of his 20 photos in an ordered line on the wall above his desk. How many ways can he do this?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

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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