Homework 7.2 Score: $$ 9 / 17 $$ Answered: $$ 9 / 17 $$ Question 10 How many ways can 10 DVDs be arranged on a shelf?

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UpStudy AI · Accepted Answer

1. Since there are 10 DVDs, we want to determine the number of arrangements (permutations) of these 10 items.
2. The number of ways to arrange $$ n $$ distinct objects is given by $$ n! $$ (read as "n factorial").
3. For 10 DVDs, the number of arrangements is:

$$
10! = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1
$$

4. Calculating the above:

$$
10! = 3628800
$$

Thus, the number of ways to arrange 10 DVDs on a shelf is $$3628800$$.
There are 3,628,800 ways to arrange 10 DVDs on a shelf.

Homework 7.2
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Question 10
How many ways can 10 DVDs be arranged on a shelf?

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Homework 7.2 Score: Answered: Question 10 How many ways can 10 DVDs be arranged on a shelf?