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(10! − 8!)/7! =

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Math Expert
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(10! − 8!)/7! =  [#permalink]

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New post 17 Oct 2018, 01:19
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:56) correct 3% (00:48) wrong based on 45 sessions

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Director
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Re: (10! − 8!)/7! =  [#permalink]

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New post 17 Oct 2018, 01:25
8!(10*9 - 1)/7! = 89*8 = 712.

E is the answer.
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Re: (10! − 8!)/7! =  [#permalink]

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New post 17 Oct 2018, 01:52
Bunuel wrote:
\(\frac{10! − 8!}{7!} =\)


A. 232
B. 352
C. 472
D. 552
E. 712


\(\frac{10! − 8!}{7!} =8!(10*9-1)/7!\)

89*8=712

Hence E
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Re: (10! − 8!)/7! =  [#permalink]

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New post 17 Oct 2018, 02:21
7! (10*9*8 - 8) / 7!
10*9*8 - 8
720 - 8
712
Option E is the correct answer

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Re: (10! − 8!)/7! =  [#permalink]

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New post 18 Oct 2018, 18:28
Bunuel wrote:
\(\frac{10! − 8!}{7!} =\)


A. 232
B. 352
C. 472
D. 552
E. 712


The common factor in the numerator is 8!. Factoring it out, we obtain:

8!(10 x 9 - 1)/7!

8(89) = 712

Alternate solution:

(10! - 8!)/7!

10!/7! - 8!/7!

(10 x 9 x 8) - 8

720 - 8 = 712

Answer: E
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Re: (10! − 8!)/7! =   [#permalink] 18 Oct 2018, 18:28
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