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A double decked bus can accommodate 110 passengers, 50 in the upper

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A double decked bus can accommodate 110 passengers, 50 in the upper  [#permalink]

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New post Updated on: 28 Oct 2010, 00:54
3
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

55% (01:48) correct 45% (02:57) wrong based on 33 sessions

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A double decked bus can accommodate 110 passengers, 50 in the upper deck and 60 in the lower deck.In how many ways can the passengers be accommodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?

1. 85!50!60!/40!45!
2. 85!/40!45!
3. 110!/50!60!
4. 110!50!60!/40!45!
5. 110!/40!45!

Originally posted by ankitranjan on 27 Oct 2010, 04:30.
Last edited by ankitranjan on 28 Oct 2010, 00:54, edited 1 time in total.
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Re: A double decked bus can accommodate 110 passengers, 50 in the upper  [#permalink]

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New post 27 Oct 2010, 06:59
2
110 passengers,50 in the upper deck and 60 in the lower deck.

25 passengers have issues as 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck
So those 15 will be put in lower deck and 10 will be in upper deck

So from the rest 85 passengers(110-25), we need to find 40 people to put into upper deck and the rest go to lower deck

So the ways are: C(85,40) = 85!/40!45! . Answer 2
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Re: A double decked bus can accommodate 110 passengers, 50 in the upper  [#permalink]

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New post 15 Jun 2011, 03:04
My doubt is once we pick the people dont we need to arrange them
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Re: A double decked bus can accommodate 110 passengers, 50 in the upper  [#permalink]

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New post 15 Jun 2011, 09:04
toughmat wrote:
My doubt is once we pick the people dont we need to arrange them

What do we need to arrange them for? :-D
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Re: A double decked bus can accommodate 110 passengers, 50 in the upper  [#permalink]

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New post 25 Jun 2018, 07:02
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Re: A double decked bus can accommodate 110 passengers, 50 in the upper &nbs [#permalink] 25 Jun 2018, 07:02
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