Question

The kindergarten teacher has $25$ kinds 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. Find the number of visits, the teacher makes to the garden and also the number of visits every kid makes.

• A. teacher visit $53130$, every kid visit $10626$
• B. teacher visit $53130$, every kid visit $53130$
• C. teacher visit $10626$, every kid visit $53130$
• D. teacher visit $10626$, every kid visit $10626$

Answer 1

The correct option is A teacher visit $53130$, every kid visit $10626$

The no. of times the kids made to the zoological garden $25C^5=53130$

And the no. of time a kid is not made it to the garden$=24C^5=42504$

The no. of times a student made it to the garden $=53130-42504=10626$

Also the no. of times the teacher made it to the garden,

$=$ The number of times a group of $5$ students made to the garden$-25C^5=53130$

$\therefore$ the required no. of visit$=53130-10626=42504$