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A regiment consisting of 5184 soldiers was asked to march in a rehears

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A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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New post Updated on: 12 Jan 2019, 10:52
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A regiment consisting of 5184 soldiers was asked to march in a rehearsal parade with various possible combinations of rows and columns. What is the probability that in a certain combination, number of rows will be less than the number of columns?

a. \(\frac{1}{2}\)

b. \(\frac{17}{35}\)

c. \(\frac{17}{36}\)

d. \(\frac{17}{18}\)

e. \(\frac{15}{34}\)

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Originally posted by UdayPratapSingh99 on 12 Jan 2019, 09:15.
Last edited by UdayPratapSingh99 on 12 Jan 2019, 10:52, edited 2 times in total.
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Re: A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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New post 12 Jan 2019, 09:21
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factorize 5184; \(2^6 * 3^4\)
thus no. of factors = (6+1)*(4+1) =35

And 17 such pairs of rows and column.

so probability = \(\frac{17}{35}\)
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Re: A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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New post 12 Jan 2019, 09:53
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UdayPratapSingh99 wrote:

And 17 such pairs of rows and column.



How did you get this? Thanks in advance!
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Re: A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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New post 12 Jan 2019, 10:09
topper97 wrote:
UdayPratapSingh99 wrote:

And 17 such pairs of rows and column.



How did you get this? Thanks in advance!




It will be just less than the half of the no. of factors, as no. of rows must be less than no.

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Re: A regiment consisting of 5184 soldiers was asked to march in a rehears   [#permalink] 12 Jan 2019, 10:09
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