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A teacher takes 3 children from her class to the zoo at a time as often as she can, but she doesn't take the same three children to the zoo more than once.she finds that she goes to the zoo 84 times more that at a perticular child goes to the zoo.The number of children in her class is

A teacher takes 3 children from her class to the zoo at a time as often as she can, but she doesn't take the same three children to the zoo more than once.she finds that she goes to the zoo 84 times more that at a perticular child goes to the zoo.The number of children in her class is

Grade:12th pass

1 Answers

Arun
25757 Points
4 years ago
Dear student
 
nC3 = n-1 C2 + 84
 
on solving
 
n(n-1) (n-2) = 3(n – 1)(n – 2) + 84
 
on solving
 
n = 10
 
Hope it helps

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