Permutation and CombinationHard
Question
The kindergarten teacher has 25 kids in her class. She takes 5 of them at a time, to zoological garden as often as she can, without taking the same 5 kids more than once. Then the number of visits, the teacher makes to the garden exceeds that of a kid by :
Options
A.25C5 - 24C4
B.24C5
C.25C5 - 24C5
D.24C4
Solution
Total no. of visits that a teacher goes is = 25C5
(selection of 5 different kids each time & teacher goes
every time)
Number of visits of a boy = select one particular boy
& 4 from rest 24 = 24C4
So extra visits of a teacher from a boy is = 25C5 - 24C4 = 24C5
(selection of 5 different kids each time & teacher goes
every time)
Number of visits of a boy = select one particular boy
& 4 from rest 24 = 24C4
So extra visits of a teacher from a boy is = 25C5 - 24C4 = 24C5
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