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

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Manager
Joined: 12 Jan 2019
Posts: 89
A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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Updated on: 12 Jan 2019, 09:52
2
00:00

Difficulty:

(N/A)

Question Stats:

33% (01:36) correct 67% (00:04) wrong based on 6 sessions

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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. $$\frac{15}{34}$$

Kudos for Kudos

Originally posted by UdayPratapSingh99 on 12 Jan 2019, 08:15.
Last edited by UdayPratapSingh99 on 12 Jan 2019, 09:52, edited 2 times in total.
Manager
Joined: 12 Jan 2019
Posts: 89
Re: A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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12 Jan 2019, 08:21
1
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 = $$\frac{17}{35}$$
Manager
Joined: 10 Oct 2018
Posts: 118
Location: United States
Schools: Sloan (MIT)
GPA: 4
Re: A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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12 Jan 2019, 08:53
1
UdayPratapSingh99 wrote:

And 17 such pairs of rows and column.

How did you get this? Thanks in advance!
_________________

Manager
Joined: 12 Jan 2019
Posts: 89
Re: A regiment consisting of 5184 soldiers was asked to march in a rehears  [#permalink]

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12 Jan 2019, 09:09
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.

Kudos for Kudos

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