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3P3 x 4P4 x 5P5 x 6 = 103,680 since there are 6 ways of arranging subjects ?

why times 6

like why are there 6 ways of arranging them.. how did you figure that out?

lolololol

so it should be = 3! x 4! x 5! x 3!

check if thats the answer, before I try to explain it

right

I dont like doing the whole nPr notation, its lazy

you consider them as seperate groups

you group the subjects together

there are n! ways of arranging n objects in a group

and then there are 3! ways of arranging your groups in a line

it takes a little getting used to , I wasnt quite sure about it the first I saw it either

my teacher sucks, so I had no clue

it gets even more complex if you were to say arrange them in a circular loop

or if you only arrange a subset of them in a circle, thats about as tricky as they come !v

I should have done a maths degree instead of engineering lol :|

haha you should have!!! you are very very good at math!