In how many different ways can a person select one book from 3 novels, one book from 5 biographies and one book from 7 self-help books? a). 15

b). 105

c). 3

d). 22

And that's equivalent to:

Where C represent the term combinatory defined as:

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

Step-by-step explanation:

For this case we can use the multplication principle of counting or sometimes called the product rule.

We have a total of 3 novels, 5 biographies and 7 self-help books. And we can find the number of ways that a person can select the three books with theis product:

And that's equivalent to:

Where C represent the term combinatory defined as:

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

go hook jvc hgv cj xk jvc 6756

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0