Answer:
4,151,347,200
Step-by-step explanation:
To find how many ways the train can be made up we use the permutation formula and the values given.
n = 16
k = 9
[tex]_{n}P_{k}=\dfrac{n!}{(n-k)!} [/tex]
[tex]_{16}P_{9}=\dfrac{16!}{(16-9)!} [/tex]
[tex]_{16}P_{9}=\dfrac{16!}{7!} [/tex]
[tex]_{16}P_{9}=4,151,347,200[/tex]
So there will be 4,151,347,200 different ways that the train can be made.
