EgmatQuantExpert wrote:

Learn the structured approach to identify permutation and combination question - Exercise Question #4

4- Clarissa wants to buy 5 books from the 10 books available on a website. She will then place all the 5 books in her library in the order they are chosen. In how many ways can she place the books in the library.

Options:

A. 120

B. 252

C. 2520

D. 3024

E. 30240

Clarissa can pick 5 books from the 10 books available in \(C_5^{10} = \frac{10!}{5!*5!}\) ways.

She can now place all the books in her library in 5! ways.

Therefore, the books can be chosen in \(\frac{10!}{5!*5!} * 5! = 30240\) ways

(Option E)
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