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Clarissa wants to buy 5 books from the 10 books available on a websit

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Clarissa wants to buy 5 books from the 10 books available on a websit [#permalink]

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New post Updated on: 17 Apr 2018, 01:40
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A
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C
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E

Difficulty:

  55% (hard)

Question Stats:

54% (00:40) correct 46% (01:24) wrong based on 28 sessions

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Fool-proof method to Differentiate between Permutation & Combination Questions - 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

Learn to use the Keyword Approach in Solving PnC question from the following article:


Article-1: Learn when to “Add” and “Multiply” in Permutation & Combination questions

Article-2: Fool-proof method to Differentiate between Permutation & Combination Questions
[Reveal] Spoiler: OA

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Originally posted by EgmatQuantExpert on 11 Apr 2018, 23:17.
Last edited by EgmatQuantExpert on 17 Apr 2018, 01:40, edited 3 times in total.
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Clarissa wants to buy 5 books from the 10 books available on a websit [#permalink]

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New post Updated on: 17 Apr 2018, 08:57

Solution



Given:
    • Clarissa wants to 5 books from 10 books.
    • She will then place all the books in order as the books are chosen.

To find:
    • The number of ways in which Clarissa can order the 5 books in her library.
Approach and Working:

    • She is first selecting 5 books and then ordering them in the library.
    • This is same as selectin and then arrangement.
    o Hence, this a permutation question.
    • Thus, total ways= \(^{10}P_5\)= 30240.

Hence, option E is the correct answer.

Answer: C
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Originally posted by EgmatQuantExpert on 11 Apr 2018, 23:20.
Last edited by EgmatQuantExpert on 17 Apr 2018, 08:57, edited 1 time in total.
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Re: Clarissa wants to buy 5 books from the 10 books available on a websit [#permalink]

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New post 11 Apr 2018, 23:34
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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Re: Clarissa wants to buy 5 books from the 10 books available on a websit [#permalink]

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New post 17 Apr 2018, 09:02
Hey everyone,

The official solution to the question has been posted. :-)

Regards,
Ashutosh
e-GMAT
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Re: Clarissa wants to buy 5 books from the 10 books available on a websit   [#permalink] 17 Apr 2018, 09:02
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