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Eleven books consisting of 5 financial management, 4 marketi [#permalink]
30 Jan 2013, 22:54

2

This post was BOOKMARKED

00:00

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Difficulty:

45% (medium)

Question Stats:

65% (03:11) correct
35% (01:48) wrong based on 55 sessions

Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.

Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
31 Jan 2013, 03:25

1

This post received KUDOS

Expert's post

antoxavier wrote:

Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.

A. 1/1155 B. 1/1255 C. 1/1355 D. 1/1455 E. 1/1555

(Probability of an event) = (Favorable) / (Total)

The total number of ways to arrange 11 books in a row is 11!.

3 groups of books: financial management (F), marketing management (M) and system management (S), can be arranged in 3! ways: FMS, FSM, MFS, MSF, SFM, and SMF (this way all the books of each kind will be together). Now, books in F itself can be arranged in 5! ways, in M in 4! ways and in S in 2! ways. Hence, the total number of ways to arrange books so that books of each kind are together is 3!*5!*4!*2!.

P = (3!*5!*4!*2!) / 11! = 1/1155.

Answer: A.

Hope it's clear.

P.S. P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3 (the name of a topic MUST be the first 40 characters (~the first two sentences) of the question). _________________

Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
25 Aug 2013, 20:38

Since the denominator will be 11! . And there is no way to divide 11 from numerator and denominator. Use a multiple of 11 in the denominator only answer A

Re: Eleven books consisting of 5 financial management, 4 marketi [#permalink]
15 Dec 2014, 03:58

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