Respuesta :
The number of ways the train could be made up are 4,151,347,200.
What is permutation?
A permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
Now the given cars are 6 flatcars, 7 boxcars, and 3 livestock cars.
So the total number of cars, n = 6 + 7 + 3
= 16
Now, a train is made up of 9 cars,
Therefore, r = 9
Hence the required number of ways the train could be made is nPr
nPr = n!/(n-r)!
nPr = 16!/(16-9)!
nPr = 16!/7!
nPr = 16*15*14*13*12*11*10*9*8
nPr = 4,151,347,200
Hence,the number of ways the train could be made up are 4,151,347,200.
More about Permutation :
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