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Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible - Mathematics and Statistics

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Question

Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible selections.

Sum

Solution

Case I Case II
4 Students are in 4 Students are out
Number of ways = 26C6 Number of ways = 26C10

Required number = 26C6 + 26C10 

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Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 92]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 8 | Page 92

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