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Suppose a bag of colored marbles contains 15 marbles. If you draw one marble at a time from the bag, without replacement, how many different ways can you draw all of the marbles from the bag?Remember that "without replacement" means that the marbles are not returned to the bag after they are chosen.Write your answer in factorial notation.

Answer :

We can solve the problem using the counting principle

Let:

N = Number of marbles

P = Number of ways you can draw all of the marbles

so:

[tex]\begin{gathered} P=N\cdot(N-1)\cdot(N-2)... \\ so: \\ P=N! \\ P=15! \\ P\approx1.3\times10^{12} \end{gathered}[/tex]

Answer:

1.3x10¹²

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