Question

Just need some help with the second answer thanks :)

Answer 1

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

$_{n}P_{k}=\dfrac{n!}{(n-k)!}$

$_{16}P_{9}=\dfrac{16!}{(16-9)!}$

$_{16}P_{9}=\dfrac{16!}{7!}$

$_{16}P_{9}=4,151,347,200$

So there will be 4,151,347,200 different ways that the train can be made.