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Seven different books are to be stacked in a pile. One book

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Carcass
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Seven different books are to be stacked in a pile. One book [#permalink] New post   12 Nov 2020, 10:37
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Seven different books are to be stacked in a pile. One book is chosen for the bottom of the pile.

Quantity A
Quantity B
The number of different orders the remaining books can be placed on the stack
17



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Source: 320 GRE Math Questions
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A
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Re: Seven different books are to be stacked in a pile. One book [#permalink] New post   12 Nov 2020, 20:39
can anyone explain it?
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Re: Seven different books are to be stacked in a pile. One book [#permalink] New post   13 Nov 2020, 06:42
Carcass wrote:
Seven different books are to be stacked in a pile. One book is chosen for the bottom of the pile.

Quantity A
Quantity B
The number of different orders the remaining books can be placed on the stack
17



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Source: 320 GRE Math Questions


Key concept: We can arrange an unique objects in n! ways

Once 1 book has been chosen for the bottom of the pile, there are 6 remaining books to be arranged.
We can arrange those 6 remaining books in 6! ways (720 ways)

Answer: A

Cheers,
Brent
Prep Club for GRE Bot
gmatclubot
Re: Seven different books are to be stacked in a pile. One book [#permalink]
13 Nov 2020, 06:42
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