A kindergarten teacher has 25 kids in her class She takes 5 of them at a time ,to zoological - Maths - Permutations and Combinations

Question

A kindergarten teacher has 25 kids in her class She takes 5 of them
at a time ,to zoological garden ,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 ?

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

∵ The number of times the kids made to the zoological garden=C525=25!5!20!=25×24×23×22×215×4×3×2=53130And the number of times a kid is not made to the garden=C524=24!5!19!=24×23×22×21×205×4×3×2=42504∴ The number of times a kid made to the garden=53130-42504=10626Also, the number of times the teacher made to the garden=the number of times a group of 5 students made to the garden=C525=53130Hence, the required number of visits=53130-10626=42504

Hope
this
information will clear
your doubts about the
topic

If you have
any more doubts just ask here on the forum and our experts
will
try to help
you out as soon as possible
Regards

A kindergarten teacher has 25 kids in her class .She takes 5 of them at a time ,to zoological garden ,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..?