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

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1888
Clarissa wants to buy 5 books from the 10 books available on a websit  [#permalink]

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Updated on: 13 Aug 2018, 07:08
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:06) correct 32% (01:17) wrong based on 56 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, 23:17.
Last edited by EgmatQuantExpert on 13 Aug 2018, 07:08, edited 4 times in total.
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Joined: 04 Jan 2015
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Re: Clarissa wants to buy 5 books from the 10 books available on a websit  [#permalink]

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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.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

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

Number Properties – Even Odd | LCM GCD
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

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

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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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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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Joined: 04 Jan 2015
Posts: 1888
Re: Clarissa wants to buy 5 books from the 10 books available on a websit  [#permalink]

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17 Apr 2018, 09:02
Hey everyone,

The official solution to the question has been posted.

Regards,
Ashutosh
e-GMAT
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

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

Number Properties – Even Odd | LCM GCD
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

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

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: Clarissa wants to buy 5 books from the 10 books available on a websit &nbs [#permalink] 17 Apr 2018, 09:02
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