There are five different tables in the class and five students. Each table can be occupied by only one student. Their studying year consists of 200 days. As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables. They would like to see whether this is possible. How many ways are there for them to sit in the class?
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The only way they'll have different seating plans everyday is if they share a desk some times. If they never share a desk than they will have to repeat some seating plans on 80 days.
Step-by-step explanation:
5*4*3*2*1 = 120
There are 120 different places to sit, if they all sit on separate tables.
5*5*5*5*5 = 3,125
There are 3,125 different places to sit if they don't mind sharing s desk sometimes.
The only way they'll have different seating plans everyday is if they share a desk some times. If they never share a desk than they will have to repeat some seating plans on 80 days.
I hope this helps.
Have a good day. x
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