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)
_________________
You've got what it takes, but it will take everything you've got