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A class has 21 students the class teacher has been asked to make n Groups of r student each and go to zoo taking one group at a time the size of the group for which teacher goes to the maximum number of times is

A class has 21 students the class teacher has been asked to make n Groups of r student each and go to zoo taking one group at a time the size of the group for which teacher goes to the maximum number of times is

Grade:11

1 Answers

Arun
25750 Points
5 years ago
number of groups of r students each = 11 C r
 
no of times teacher go to zoo = z
 
no of groups (G) she can form = 21 C r
 
Z is maximum when G is maximum
 
r = 2 1 – 1 / 2 or 21 + 1 / 2
 
r = 10 or  11

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