SOLUTION: A class of 43 students is to be divided into committees so that each student serves on exactly one committee. Each committee must have at least 3 students and at most 5 students.
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Question 206563This question is from textbook Let's review integrated algebra
: A class of 43 students is to be divided into committees so that each student serves on exactly one committee. Each committee must have at least 3 students and at most 5 students. How do I determine which inequality would represent the possible number of committees, X, that could be formed?
This question is from textbook Let's review integrated algebra
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
The number of ways to select 3 students from 43 is 43C3=43!/(3!40!)=12341.
the number of ways to select 5 students from 43 is 43C5=43!/(5!38!)=962598.
::
Therefore, 12341<=x<=962598
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