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  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

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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: 13 Aug 2018, 06:08
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A
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  45% (medium)

Question Stats:

63% (01:17) correct 37% (01:15) wrong based on 135 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

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Originally posted by EgmatQuantExpert on 11 Apr 2018, 22:17.
Last edited by EgmatQuantExpert on 13 Aug 2018, 06:08, edited 4 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: 26 Nov 2018, 01:03

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: E
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Originally posted by EgmatQuantExpert on 11 Apr 2018, 22:20.
Last edited by EgmatQuantExpert on 26 Nov 2018, 01:03, edited 2 times 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, 22:34
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, 08:02
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]

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New post 25 Nov 2018, 04:13
Clarissa can choose 5 books from 10 books in 10C5 ways.When she arranges the books in the order they are chosen,this order should always be one for a particular selection of 10C5 selections.
IMO, answer is 252.
@e-GMAT , plz help understanding this.
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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 26 Nov 2018, 01:06
Hey BARUAH,
We have already explained this concept in the series of article on Permutation and Combination.
You can get the links to the article in the question itself.
Regards,
Ashutosh
e-GMAT
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Number Properties | Algebra |Quant Workshop

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Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



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Re: Clarissa wants to buy 5 books from the 10 books available on a websit &nbs [#permalink] 26 Nov 2018, 01:06
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