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# (10! − 8!)/7! =

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Math Expert
Joined: 02 Sep 2009
Posts: 53831

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17 Oct 2018, 01:19
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00:00

Difficulty:

5% (low)

Question Stats:

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

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$$\frac{10! − 8!}{7!} =$$

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

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Joined: 18 Jul 2018
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Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: (10! − 8!)/7! =  [#permalink]

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

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Re: (10! − 8!)/7! =  [#permalink]

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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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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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Target Test Prep Representative
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Re: (10! − 8!)/7! =  [#permalink]

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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

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