After a day of skiing a family of six washes all of their ski-wear including their gloves. The next day, each family member grabs two gloves from the pile. (a) Assume that everyone grabs one left-hand and one right-hand glove. In how many ways can they do this so that no one has both of their own gloves? (b) Answer part (a) assuming instead that each family member grabs any two gloves.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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After a day of skiing a family of six washes all of their ski-wear including their gloves.
The next day, each family member grabs two gloves from the pile.
(a) Assume that everyone grabs one left-hand and one right-hand glove. In how many
ways can they do this so that no one has both of their own gloves?
(b) Answer part (a) assuming instead that each family member grabs any two gloves.
Transcribed Image Text:After a day of skiing a family of six washes all of their ski-wear including their gloves. The next day, each family member grabs two gloves from the pile. (a) Assume that everyone grabs one left-hand and one right-hand glove. In how many ways can they do this so that no one has both of their own gloves? (b) Answer part (a) assuming instead that each family member grabs any two gloves.
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