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# In How many ways can 7 people park cars in slots allotted to them?

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Manager
Joined: 12 Jun 2016
Posts: 217
Location: India
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In How many ways can 7 people park cars in slots allotted to them?  [#permalink]

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02 Jul 2016, 03:22
1
4
00:00

Difficulty:

45% (medium)

Question Stats:

55% (01:16) correct 45% (01:51) wrong based on 65 sessions

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Seven friends are living in 7 different flats of an apartment. Each of them was allotted a parking slot to park their cars in the ground floor. But they used to park their cars randomly in any of the seven slots. In how many ways can they park their cars so that exactly five persons park their cars in the slots allotted to them?

A) 14
B) 21
c) 35
D) 42
E) 49

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Joined: 02 Sep 2009
Posts: 50002
Re: In How many ways can 7 people park cars in slots allotted to them?  [#permalink]

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02 Jul 2016, 04:51
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1
susheelh wrote:
Seven friends are living in 7 different flats of an apartment. Each of them was allotted a parking slot to park their cars in the ground floor. But they used to park their cars randomly in any of the seven slots. In how many ways can they park their cars so that exactly five persons park their cars in the slots allotted to them?

A) 14
B) 21
c) 35
D) 42
E) 49

$$C^5_7=21$$: choosing which of the 7 persons will be on the slots allocates to them, the remaining 2 will be parked on each others slots.

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Re: In How many ways can 7 people park cars in slots allotted to them?  [#permalink]

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05 Aug 2018, 08:05
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Re: In How many ways can 7 people park cars in slots allotted to them? &nbs [#permalink] 05 Aug 2018, 08:05
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